Unit 1 Study Guide Review

Simplify Expressions

100

1) Simplify:
-2(5m-3)

-10m + 6

200

2) Simplify:
-(-6-2m)

6 + 2m

300

3) Simplify:
4x - 7y - 10x + y

-6x - 6y

400

5) 2a²b - 4ab² + 5a²b

7a²b - 4ab²

500

6) -5m³n + 2m³n³ + m³n

-4m³n + 2m³n³

Solve Equations

100

7) Solve
3(n-7) = 12

n = 11

200

8) Solve
-5(n+1) = -25

n = 4

300

9) Solve
6n + 3 - 7n = 11 - 2n + 1

n = 9

400

10) Solve
-3x + 8 + 2x = 9 - 3x - 15

x = -7

500

22) Solve
^3k⁄₅ - ^k⁄₁₀ = ^k⁄₅ + 1

k = 10/3

Proportions and Unit Rates

100

13) ¹⁰⁄_m = ^-13⁄₁₂

m = ^-120⁄₁₃

200

14) ^v+6⁄₅ = ^v-8⁄₄

v = 64

300

25) 12 pencils cost $2.49. How much will 20 pencils cost?

20 pencils will cost $4.15

400

24) You are purchasing tickets to an amusement park for 15 people. At the park, 3 tix cost $100. Online, 5 tix cost $125. What is the better deal?

At the park, tix are $33.33 each
Online, tix are $25 each
Online is a better deal.

500

15) Sue runs 15.3 miles in 2 hours. Bob runs 25.6 miles in 3 hours. Compare speeds and determine who was running faster?

Sue ran 7.65 mi/hr Bob ran 8.53 mi/hr Bob was running faster.

Inequalities

100

19) Solve and graph:
5(w+3) &#8805 10

w &#8805 -1

200

20) Solve and graph:
15 > 5-x

x > -10 or -10 < x

300

21) Solve and graph:
12 > -7 - y

-19 < y or y > -19

Hodge Podge

100

4) Simplify
3x + 7y -11x + 5y

-8x + 12y

200

23) 5 friends are going bowling. Two of them rent shoes for $3 per pair and snack costs are $15. The total cost of the outing is $66.
Write an equation and determine how much each game of bowling cost.

5b + 2s + 15 = 66
b = $9

300

12) Solve for L
P = 2W + 2L

L = ^P⁄₂ - W

400

17) Solve and Justify each step
-0.6 + 0.8k - 2.6 = 2.4

k = 7 Steps will vary

500

26) For the following problem, choose the step where the error occurred and fix it.
Given: -4x=40-8(x-10)
Step 1: -4x=40-8x+80
Step 2: -4x=120-8x
Step 3: -12x=120
Step 4: x=-10

Step 3 is incorrect.
x = 30