MS Math 8 CRCT Practice

Final Exam Review

1)

Reflect pentagon ABCDE across the y-axis. What are the coordinates of B’? A) (-5, 3)

B) (-4, 3)

C) (-3, 2)

D) (4, -3) 2) There are 15 cards numbered 1 through 15. What is the probability that you choose a 5 or

a 9?

A) 1 225

B) 1 15

C) 2 15

D) 14 15

3) Solve for z.

A) z = 4

B) z = 6

C) z = 8

D) z = 4.8

5z – 8 = 32

4) It costs $23 per hour plus a flat fee of $16 for a plumber to make a house call. What is the

equation of the form y = mx + b for this situation? A) y = 16x

B) y = 23x

C) y = 16x + 23

D) y = 23x + 16 5) The area of the United States is 3,794,100 square miles. What is a good estimation of this

area? A) 3 x 106

B) 3 x 107

C) 4 x 106

D) 4 x 107

6) Which square root is a whole number?

A) 167

B) 168

C) 169

D) 170 7) Every week (w) Sandra will save $10. Which algebraic expression could Sandra use to

calculate how much money she has saved after any number of weeks? A) 10w

B) 10x

C) 10 + w

D) 10 w

8)

Describe the correlation. A) no correlation

B) prime correlation C)

positive correlation

D) negative correlation

9)

The graph shows the cost for renting a post hole digger from a local hardware store. Determine the rate of change or cost per day.

A) $60 per day

B) $30 per day

C) $90 per day

D) $15 per day

10) Age and Shoe Size

Age (years) Shoe Size

8 7 9 8 10 9 8 9 14 9 15 11 10 10 33 9 27 9.5 45 10.5

Oliver is doing a study on age and shoe size. He collects the following ages and shoe sizes. Is his data a function? Why or why not?

A) Yes, because for every x there is only one y.

B) Yes, because for every y there is only one x.

C) No, because for some x's there are more than one y's.

D) No, because for some y's there are more than one x's.

11) Which graph represents the solution for the equation 1 6

x = -2x + 5?

A)

B)

C)

D) 12) 2x + 5 = 10

What is the first operation used in solving this equation?

A) $10

B) $11

C) $12

D) $13

13)

A) addition B) division

C) multiplication D) subtraction

Using the line of best fit, what is the best approximation for the hourly rate of an individual with 6 years of experience?

14)

When the blue trapezoid is translated to the green one, the new coordinates of the point (-2, 8) will be

A) (-4, 0).

B) (-8, 0).

C) (-4, -8).

D) (-8, -4).

15)

Rotate 90° clockwise and translate 3 units right. Determine which rectangle was transformed to result in rectangle E.

A) rectangle A

B) rectangle B

C) rectangle C

D) rectangle D

16) 3x + 5y = 9 3x + 2y = 3

Solve the system of equations.

A) x = 2, y = 3

B) x = 3, y = 2

x = - C) 1

3

, y = 2

x = 2, y = - D) 1

3

17) Have Brother Have Sister Only Child Do Not have Chores 6 6 8

Have Chores 8 10 1

Fiona interviewed her 30 classmates on whether or not they had a sibling and if they have assigned chores at home. She displayed her results in the two-way table shown. Which category had the highest relative frequency?

A) Sisters

B) Brothers

C) Have Chores

D) Do Not have chores 18) Which graph represents the solution for the equation

4 3

x + 2 = 5x?

A)

B)

C)

D)

* Hover over answer image to enlarge

19) A children's birthday party at an indoor play center costs $50 to rent the space and $6.25 per child. Gina wants to spend no more than $100 on her son's fourth birthday party. Write an inequality for the number of children who can attend the birthday party, and solve the inequality.

A) 50 + 6.25x ≤ 100; x ≤ 8

B) 50 + 6.25x ≥ 100; x ≥ 8

C) 50 + 6.25x < 100; x < 8

D) 50 + 6.25x > 100; x > 8 20) Olivia is growing roses and keeps track of how much fertilizer (in ounces) she adds to the

soil and how many blooms each rose bush has. She finds a linear relationship that can be modeled by the equation y = 1.345x + 4. When will Olivia only have 4 blooms?

A) When she adds no fertilizer.

B) Every bush will only have 4 blooms.

C) When she only adds 1 ounce of fertilizer.

D) It is not possible for her to only have 4 blooms. 21)

You are given rectangle ABCD on the grid shown and are told that the figure is to be dilated from the origin, but you are not told by what factor. Which COULD be the new coordinates of point D?

A) (-8, -4)

B) (-2, -2)

C) (-2, -4)

D) (2, 4)

22) 2y = 4

-x=-3

What is the solution to this system of equations? A) (2,3)

B) (-3,2)

C) (3, 2)

D) (-3, 4)

23)

Billy is 6 years younger than Amy. The sum of their ages is 22. How old will each of them be in 8 years?

The graph shows the two equations, where x = Amy and y = Billy. What is the answer to the problem?

A) Amy is 8 and Billy is 14.

B) Amy is 14 and Billy is 8.

C) Amy will be 16 and Billy will be 22.

D) Amy will be 22 and Billy will be 16.

24) Express the number in scientific notation.

A) .78 × 109

B) 7.8 × 108

C) 7.8 × 10-8

D) 78 × 107

25) 4x + 3y = 6

-4x + 2y = 14

Solve the system of equations. x =

780,000,000

1 A) 2

, y = 3

x = 3, y = B) 1

2

x = 4, y = - C) 3

2

x = -

D) 3 2 , y = 4

26) x = y + 4

2x - 3y = -2

What is the solution to the system of equations? A) (6, 10)

B) (9, 5)

C) (10, 6)

D) (14, 10)

27)

Leroy invested 12,000 into two different bank accounts. One account (x) gives Leroy 1.5% interest yearly and the other account (y) give Leroy 3% interest yearly. At the end of one year Leroy had earned $300 in interest. Which system of equations could be used to solve for how much money Leroy invested in the two accounts?

A)

B)

C)

D)

28) In 2007, the population of North America was approximately 5.15 x 108 people and the population of South America was approximately 3.04 x 108 people. What is the combined population of North and South America for this year?

A) 8.19 x 1016 people

B) 8.19 x 109 people

C) 8.19 x 108 people

D) 8.19 x 1064 people

29)

Find the measure of ∠BEC.

30)

A) 10°

B) 80°

C) 100°

D) 110°

Describe the rate of change modeled by this graph. A) positive

B) negative C) no change

D) a change that is undefined 31) Jimmy ran 3 miles west from home and then turned north and jogged 4 miles. How far is

Jimmy from home? A) 3.5 miles

B) 4 miles

C) 5 miles

D) 7 miles

32) Which number has the greatest value? A) 3.5

B) 15

C) 1

16

D) 26 100

33) A triangle in the coordinate plane has coordinates of (3,5), (1,-3), and (-3, 4). It is

translated so that its new coordinates are (1,7), (-1,-1), and (-5, 6). What transformation occured?

A) It moved up two units and left two units. B)

It moved up two units and right two units.

C) It moved down two units and left two units.

D) It moved down two units and right two units. 34)

Which transformation will move polygon ABCD completely into one quadrant? A) up 5 units

B) left three units

C) reflect over the x-axis

D) reflect over the y-axis

35)

What is the length of the diagonal of the rectangle? A) 2.5 units

B) 4.5 units

C) 5 units

D) 7 units 36) 3x + y = 3

x + y = 2

Solve the system of equations. x = 1

A) 2 , y = 3

x = 3, y = B) 1

2

x = 1

C) 2 , y = 3 2

D) x = 3

37)

38)

2 , y = 1 2

Which graph is an example of a function? A)

B)

C)

D)

The graph shown represents part of Sheri's trip to her sister's house. During what part of her trip was the car's speed decreasing?

A) between 0 and 20 minutes

B) between 20 and 40 minutes

C) between 40 and 50 minutes

D) between 60 and 80 minutes

39) 2x + 3y = 14

4x + 6y = 28

Which statement about the pair of equations is true? A) The pair has no solutions because the equations are dependent.

B) The pair has no solutions because the equations are not consistent.

C) The pair has an infinite number of solutions because the equations are dependent.

D) The pair has an infinite number of solutions because the equations are independent.

40) x 1 2 3 4 5 f 4 7 10 13 16

Given the table for f(x), write an expression for the function, and describe what it does. A) y=2x. y is double x.

B) y=3x. y is triple x.

C) y=3x+1. y is three times x plus 1.

D) y=3x-1. y is three times x minus 1.

41) x + 3y = 7 x - 3y = 1

Solve the system of equations.

A) x = 4, y = 1

B) x = 1, y = 4

x = - 2

C) 3 , y = 3

x = 3, y = - D) 2

3

42) x 1 2 3 4 5 f 3 5 7 9 11

Given the table for f(x), write an expression for the function, and describe what it does. A) y=2x. y is double x.

B) y=3x. y is triple x.

C) y=2x+1. y is twice x plus 1.

D) y=2x-1. y is twice x minus 1.

43)

Given: line a is parallel to line b

Identify a pair of congruent corresponding angles.

A) 1 & 4

B) 1 & 8

C) 2 & 5

D) 4 & 8 44) Which graph represents the solution for the equation ½ x - 1 = -x + 2?

A)

B)

C)

D) 45) Which square root is a whole number?

A) 222

B) 223

C) 224

D) 225 46) Which equation is nonlinear?

A) 4x = 12

B) 3y = 12

C) xy = 12

D) 3x - 6y = 12 47)

Which point approximates 120

A)

B)

C)

D)

48)

Which triangle would be congruent to the original using a reflection over the x-axis? A)

B)

C)

D) 49) Which transformation can create figures that are similar, but NOT congruent?

A) dilation

B) reflection

C) rotation

D) translation 50) Divide and give the answer in scientific notation.

8.4 x 107

3 x 103

A) 5.4 x 10-4

B) 5.4 x 1021

C) 2.8 x 10-4

D) 2.8 x 104

51) A high school basketball team scores 85 points in a playoff game. The team leaders are

Greg and Tremaine who scored a total of 38 points. If Tremaine scored 8 more points than Greg, how many points did Greg and Tremaine score individually?

A) Greg: 23 points, Tremaine: 15 points

B) Greg: 30 points, Tremaine: 38 points

C) Greg: 20 points, Tremaine: 28 points

D) Greg: 15 points, Tremaine: 23 points 52) Simplify.

A) 8-14

B) 8-6

C) 86

D) 814

53) 3 2

6 7

-1

6 5

Put the numbers in ascending order.

3 2

6

8-4

8-10

A) 7 -1-

6 5

6 5 -1

B) 6 7 3 2

C) 2

3

6 7 -1

6 5

-1

D) 6 7

6 5

3 2

54) Data from Previous Truck Head Gaskets

Temperature (°C) Damage Index

12 11 13 8 14 8 16 2 18 2 19 2 19 2 19 1 19 1 20 0 21 4 21 0 21 0

Scientists believe there is a link between ambient temperature and damage to a head gasket on a car. Using the provided information draw a scatterplot of the data.

Describe the correlation for temperatures less than 20° Celsius

A) There is no correlation.

B) There is a nonlinear correlation.

C) There is a strong positive correlation.

D) There is a strong negative correlation.

55) The distance driven in miles is proportional to the time driven in hours. Ebony drives at a constant rate and plots her progress on a coordinate plane. The point (3, 180) is plotted. At what rate is Ebony driving in miles per hour?

A) 40 mph

B) 50 mph

C) 60 mph

D) 70 mph

56) Rolling a Die

Number Frequency

1 46 2 54 3 53 4 47 5 24 6 26

Eliza is rolling a die and recording whether she gets an even or an odd number. She wants to know if the outcomes are equally likely. She rolls the die 250 times and records the number that she gets in the table. Are the outcomes of an even number versus an odd number equally likely?

A) No, as the probability of the outcome is not 1.

B) Yes, as the probability of getting an odd number is greater.

C) Yes, as the probability of each outcome is approximately equal.

D) No, as the probability of each outcome is not approximately equal.

57)

The graph represents Jason's speed on a recent trip. For which time period is his rate of change negative?

A) between 0 and 5 minutes B)

between 5 and 10 minutes

C) between 10 and 20 minutes

D) between 20 and 25 minutes 58) The radius of the earth's orbit is 45,000,000 meters. What is the number in scientific

notation? A) 4.5 x 10-7

B) 4.5 x 107

C) 45 x 10-6

D) 45 x 106 59) Simplify.

A) 416

B) 42

C) 1 42

D) 1 4

43 · 44

49

60) If Jaalan takes the number of marbles he has and multiplies it by 5 and then subtracts 10, he gets 275. Write an equation and solve to see how may marbles Jaalan has.

A) 53

B) 57

C) 1325

D) 1425