Simplify Expressions
Solve Equations
Proportions and Unit Rates
Inequalities
Hodge Podge
100
1) Simplify:
-2(5m-3)
-10m + 6
100
7) Solve
3(n-7) = 12
n = 11
100
13) 10⁄m = -13⁄12
m = -120⁄13
100
19) Solve and graph:
5(w+3) &#8805 10
w &#8805 -1
100
4) Simplify
3x + 7y -11x + 5y
-8x + 12y
200
2) Simplify:
-(-6-2m)
6 + 2m
200
8) Solve
-5(n+1) = -25
n = 4
200
14) v+6⁄5 = v-8⁄4
v = 64
200
20) Solve and graph:
15 > 5-x
x > -10 or -10 < x
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
3) Simplify:
4x - 7y - 10x + y
-6x - 6y
300
9) Solve
6n + 3 - 7n = 11 - 2n + 1
n = 9
300
25) 12 pencils cost $2.49. How much will 20 pencils cost?
20 pencils will cost $4.15
300
21) Solve and graph:
12 > -7 - y
-19 < y or y > -19
300
12) Solve for L
P = 2W + 2L
L = P⁄2 - W
400
5) 2a2b - 4ab2 + 5a2b
7a2b - 4ab2
400
10) Solve
-3x + 8 + 2x = 9 - 3x - 15
x = -7
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.
400
17) Solve and Justify each step
-0.6 + 0.8k - 2.6 = 2.4
k = 7 Steps will vary
500
6) -5m3n + 2m3n3 + m3n
-4m3n + 2m3n3
500
22) Solve
3k⁄5 - k⁄10 = k⁄5 + 1
k = 10/3
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.
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
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