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WorksheetsUnit 1 Review - Equations/Inequalities
Total questions: 57
Worksheet time: 3hrs 36mins
Name
Class
Date
1.
6x-7=12
a)
5/6
b)
19/6
c)
2
d)
6/19
2.
-3(2c-5)=15
a)
-5
b)
5
c)
0
d)
6
3.
12-4x-x=2
a)
2
b)
-2
c)
5
d)
-5
4.
4y-7=2y+7
a)
7
b)
14/6
c)
2
d)
0
5.
x=2x-4
a)
-4
b)
4
c)
-4/3
d)
3/4
6.
2x+4+5x=13+4x
a)
-3
b)
9
c)
3
d)
1
7.
-3a + 8 = 14
a)
a= -2
b)
a= -7.5
c)
a= 2
d)
a= 6
8.
3 + (1∕4)a = 31
a)
a= 28
b)
a= 112
c)
a= 7
d)
a= 67
9.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
10.
Solve the equation:
x/3+ 10 = 15
x/3+ 10 = 15
a)
75
b)
15
c)
25
d)
5
11.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
12.
Solve:
3x + 15 = 3(x + 5)
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
13.
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x - 3) + 2
a)
one
b)
no solutions
c)
infinite solutions
14.
Do I need to flip my sign?
-3x ≥ 12
-3x ≥ 12
a)
Yes
b)
No
15.
Solve for k.
7k – 2 ≥ -9
7k – 2 ≥ -9
a)
k ≤ -1
b)
k≤1
c)
k≥1
d)
k ≥ -1
16.
Solve and graph the inequality.
77 ≤ 5 + 8n
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
17.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
18.
What operation would you perform first and then second when solving for m in the following equation?
10 + 7m = 17
10 + 7m = 17
a)
subtract 10, divide by 7
b)
divide by 7, subtract 10
c)
multiply by 7, add 10
d)
add 10, multiply by 7
19.
Each month Kaden's phone company charges a flat fee of $12 plus $0.05 per minute. His bill for last month was $18. How many minutes did Luca talk on the phone last month?
a)
120
b)
100
c)
350
d)
600
20.
At one store a trophy costs $12.50. Engraving costs $0.40 per letter. At another store, the same trophy costs $14.75. Engraving costs $0.25 per letter. Write an equation for how many letters the costs will be the same.
a)
12.50 + 0.40 = 14.75 + 0.25
b)
12.50x + 0.40 = 14.75x + 0.25
c)
12.50 + 0.40x = 14.75 + 0.25x
d)
0.40x - 12.50 = 0.25x - 14.75
21.
Sophie has $14 and plans to save $5 each week until she has the $64 she needs for a new jacket. How many weeks will it take Sophie to save money for a new jacket?
a)
11 weeks
b)
10 weeks
c)
12 weeks
d)
13 weeks
22.
What is the first step to solve this equation:
-3x + 11 = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
23.
4(4+4x)=96
a)
5
b)
1.5
c)
9
d)
10
24.
297=7(8x-6)+3
a)
13
b)
12
c)
6
d)
10
25.
At least 25 cats are on my porch.
a)
c<25
b)
c>25
c)
c≤25
d)
c≥25
26.
If m > 17, which is a possible value for m?
a)
12
b)
10
c)
23
d)
7
27.
If s ≤ 35, which is NOT a solution of the inequality?
a)
25
b)
35
c)
42
d)
30
28.
Which graph matches the inequality
k < 3?
k < 3?
a)
A
b)
B
c)
C
d)
D
29.
Which graph matches the inequality
2 > p?
2 > p?
a)
A
b)
B
c)
C
d)
D
30.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
31.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
32.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
33.
The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?
a)
50 + 3.5x < 71
b)
71 - 3.5x < 50
c)
71 - 3.5x ≤ 50
d)
71 + 3.5x < 50
34.
The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?
a)
106 - 4x ≤ 70
b)
70 + 4x ≤ 106
c)
4x - 106 ≥ 70
d)
106 - 4x< 70
35.
The members of Carver Middle School's Junior Beta Club need to raise at least $2000 to attend their national convention. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?
a)
300x + 10 ≥ 2000
b)
10x + 300 ≤ 2000
c)
10x + 300 > 2000
d)
300 + 10x ≥ 2000
36.
Juan bought a soda for $2. He also bought some nachos for $3 each. Juan did not spend more than $14 on the nachos and the soda. Write an inequality can be used to find n, the number of nachos that Juan could have bought.
a)
14≥2n+3
b)
2+3n≤14
c)
14-3n≤2
37.
Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?
a)
200 + 25x ≥ 500
b)
500 + 25x ≥ 200
c)
500 - 25x ≥ 200
d)
500 - 25x ≤ 200
38.
Debbie has at most $60 to spend on the clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an inequality that could be used to find x, the number of t-shirts Debbie can buy.
a)
60≥22x-8
b)
22-8x≥60
c)
22x+8≤60
d)
22+8x≤60
39.
The lengths of two adjacent sides of rectangle are 2x + 3 and x -7, and its perimeter is 40. Which answer choice shows an equation that can be used to find the perimeter of the rectangle?
a)
2x + 3 = x - 7
b)
(2x + 3) + (x - 7) = 40
c)
2(x + 3 - 7) = 40
d)
2(2x +3) + 2(x - 7) = 40
40.
Simplify:
-1x + y - z + 10z + 2x - 10y
-1x + y - z + 10z + 2x - 10y
a)
1x - 9y + 9z
b)
1x - 9z - 9y
c)
-1x - 9z - 9y
d)
-1x - 9 - 9y
41.
Simlpify:
7(3x+5) - 2(x+3)
7(3x+5) - 2(x+3)
a)
19x+29
b)
19x+41
c)
5x + 38
d)
19x + 8
42.
Write the expression for the perimeter of the rectangle
a)
6x - 6
b)
4x + 10
c)
8x - 8
d)
3x - 3
43.
Ten more than three times a number
a)
3 x 10 x m
b)
3m + 10
c)
10 + 3 + m
d)
10m + 3
44.
Three times the difference of a number and 7
a)
3x - 7
b)
3(x - 7)
c)
3(x + 7)
d)
3(7) - y
45.
Nine less than the product of a number and 4
a)
9 - 4n
b)
9 - (n + 4)
c)
4n - 9
d)
9/4n
46.
Simplify: 8x - 3(3x + 7)
a)
-x + 21
b)
-x - 21
c)
17x + 7
d)
17x + 21
47.
Simplify: -7x - (-3 - 9x)
a)
2x + 3
b)
-16x - 3
c)
-2x + 3
d)
16x - 3
48.
ax + c = R
(solve for x)
(solve for x)
a)
ax = R + c
b)
ax = R - c
c)
x = a(R-c)
d)
x = (R-c) / a
49.
Solve for y:
5x - y = 16
5x - y = 16
a)
-y = 5x + 16
b)
y = 5x + 16
c)
x = 5y - 16
d)
y = 5x - 16
50.
Solve the equation for w.
x = w / a
x = w / a
a)
w = a / x
b)
w = x / a
c)
w = ax
d)
x = wa
51.
What should we do first to solve for x?
y=mx+b
y=mx+b
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
52.
S = 3F - 24 Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
53.
Solve:
C = 2πr, for r
C = 2πr, for r
a)
C/(2π) = r
b)
C + 2π = r
c)
C - 2π = r
d)
2πC = r
54.
Solve for x:
ax - b = c+d
ax - b = c+d
a)
x = a(c + d + b)
b)
x = (c + d) / (a-b)
c)
x = a / (c + b + d)
d)
x= (c + b + d)/a
55.
pV = nRT
solve for n
a)
n= pV/RT
b)
n= p/R + V/T
c)
n= pV - RT
d)
n= (pV-R)/T
56.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
57.
Solve the formula for y. What is the 1st step?
a)
Subtract B from each side.
b)
Divide each side by Ax.
c)
Divide each side by B.
d)
Subtract Ax from each side.
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