1.2Solving Linear

& Literal Equations Learning Target:

I can solve linear equations and literal equations.[A.CED.1, A.REI.3]

Algebra I Review

Literal Equations - equations with multiple variables where you are asked to solve for just one of the variables.

- represent formulas from science or geometry

To solve literal equations - use same process you use to isolate the variable in an algebraic equation with one variable.

**BE CAREFUL NOT TO COMBINE UNLIKE TERMS!!!

1. Solve E = IR for R

Solve the formula for the indicated letter.

2. v = v0 + at , solve for a

Q = c - d2

, solve for c4.3. V = l w h ,solve for l

A = bh12

5. The equation is used to find the area, A, of a triangle, where b represents the base of the triangle and h represents the height of the triangle. Based on this formula, what is the height, h, in terms of A and b?

6. The surface area of a cylinder is given by S = 2 π r h + 2 π r 2, where r

is the radius of the circular base and h is the height of the cylinder. What is the height of the cylinder, h, in terms of the radius and surface area?

Write a linear model (equation) and solve each problem.

7. A 300m long wire is used to fence a rectangular plot whose length is twice its width. Find the length and width of the plot.

8. Sarah spent half of her weekly allowance playing mini-golf. To earn more money, her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

Assignment: 1.2 Assignment

Exit ticket: –3x + 5y = –10, solve for y ** write answer in slope-intercept form

Alg 2 1.2 Solving Linear & Literal Equations Wksht Answers1. r = 2. r = 3. y = – x + 2d

tC2π

23

4. c = 4A - a - b 5. n = –T + m h + 16t2

tv =6. v = + 16t ht

or

9. 5 hours10. 54 boxes11. 72˚, 108˚12. width = 15m, length = 25m

13. b = 314. a = – 415. x = 616. x = 24

7. h = 3V

π r2 8. m = 2Kv2 MUST SHOW WORK!

17. No solution18. x = 019. – 19