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WorksheetsUnit 4 Test Review
Total questions: 206
Worksheet time: 10hrs 30mins
Select all the values that work as solutions of the equation:
8.7 + x = 12.4
3.7
5.2
2.4
No solution
Find all the values that satisfy the equation:
6.3 + x = 9.8
3.5
2.5
1.5
No solution
Solve for y in the equation:
4.5 + y = 7.0
2.5
3.5
1.5
No solution
Solve for y in the equation:
1053 ÷ x = 81
13
12.7
11.1
No solution
Solve for y in the equation:
1053 ÷ x = 81
13
12.7
11.1
No solution
Solve for x in the equation:
8.2 + x = 15.7
6.5
7.5
5.5
No solution
Find the value of z in the equation:
12.4 - z = 5.9
6.5
7.5
5.5
No solution
Solve for x in the equation:
7.5 × x = 45
No solution
7
5
6
Solve for x in the equation:
9.5 × x = 47.5
4.5
6
5
No solution
Find the value of y in the equation:
14.2 - y = 8.7
No solution
4.5
6.5
5.5
Solve for z in the equation:
3.3 + z = 10.8
7.5
No solution
6.5
8.5
Solve for x in the equation:
7.2 × x = 50.4
6
8
7
No solution
Find the value of y in the equation:
18.5 - y = 10.2
8.3
7.3
No solution
9.3
Solve for z in the equation:
5.5 + z = 12.0
6.5
5.5
No solution
7.5
Solve for z in the equation:
8z - 16 = 0
4
2
No solution
8
Solve for a in the equation:
3a + 9 = 0
No solution
-3
3
0
Solve for b in the equation:
7b = 49
6
7
8
No solution
Solve for c in the equation:
c ÷ 5 = 3
15
10
No solution
5
Solve for z in the equation:
14.5 + z = 20.3
No solution
4.8
6.8
5.8
Find the value of a that satisfies the equation:
7.9 + a = 12.4
4.5
3.5
5.5
No solution
Solve for b in the equation:
9.6 + b = 15.1
4.5
No solution
6.5
5.5
Find the value of c that satisfies the equation:
11.2 + c = 18.7
6.5
7.5
No solution
8.5
Solve for y in the equation:
3y - 9 = 0
3
0
9
No solution
Solve for a in the equation:
4a + 8 = 20
No solution
2
4
3
Solve for b in the equation:
9b = 81
No solution
8
9
7
Solve for c in the equation:
c/5 = 7
12
5
No solution
35
Find the value of x in the equation:
15.7 - x = 9.2
5.5
No solution
6.5
7.5
Solve for a in the equation:
20.3 + a = 25.8
5.5
4.5
6.5
No solution
Find the value of b in the equation:
14.6 - b = 8.1
6.5
5.5
No solution
7.5
Solve for c in the equation:
11.9 + c = 18.4
7.5
No solution
5.5
6.5
What is the solution to the equation:
9.5 + x = 15.3
3.8
4.8
6.8
5.8
Solve for z in the equation:
z - 3.4 = 7.1
11.5
8.5
10.5
9.5
Determine the value of a in:
a + 5.6 = 12.2
7.6
6.6
4.6
5.6
Find the value of b in the equation:
18.9 - b = 10.4
7.5
9.5
6.5
8.5
Calculate the value of c in:
c + 2.3 = 9.8
7.5
6.5
8.5
5.5
Solve for x in the equation:
5x - 15 = 0
3
0
-3
5
Solve for y in the equation:
2y + 8 = 16
0
8
4
2
Solve for c in the equation:
c/4 = 5
20
10
15
5
Solve for m in the equation:
7m = 49
9
8
7
6
Solve for n in the equation:
n + 12 = 20
10
8
6
12
Solve for p in the equation:
p - 5 = 10
20
5
15
10
Solve for y in the equation:
3y - 5 = 16
6
5
7
8
Find the value of z in the equation:
z/4 + 3 = 10
30
28
24
32
Solve for m in the equation:
5m + 2 = 27
5
4
6
7
Find the value of n in the equation:
2n - 3 = 11
9
6
7
8
Solve for p in the equation:
p/5 + 6 = 14
50
45
35
40
Find the value of q in the equation:
7q - 4 = 38
6
7
8
9
Solve for y in the equation:
3y - 4 = 11
No solution
7
3
5
Find the value of z that satisfies the equation:
z/3 + 2 = 8
No solution
18
12
6
Solve for a in the equation:
5a = 45
No solution
7
8
9
Find the value of b that satisfies the equation:
2b + 3 = 11
5
4
No solution
3
Solve for x in the equation:
4x - 5 = 15
5
6
4
No solution
Find the value of m that satisfies the equation:
m/4 = 9
28
36
No solution
32
Solve for y in the equation:
4y + 12 = 28
5
4
3
No solution
Solve for a in the equation:
9a - 27 = 0
3
2
4
No solution
Solve for b in the equation:
5b = 45
No solution
10
9
8
Solve for m in the equation:
m ÷ 4 = 7
No solution
14
21
28
Solve for n in the equation:
2n + 5 = 15
No solution
6
5
4
Solve for p in the equation:
p - 3.5 = 6.5
10
No solution
9
11
Calculate the value of c in the equation:
c + 3.7 = 10.2
No solution
5.5
7.5
6.5
Determine the value of y in the equation:
8.3 × y = 41.5
6
5
4.5
No solution
Find the value of d in the equation:
15.8 - d = 9.3
6.5
5.5
7.5
No solution
Solve for m in the equation:
m × 6.2 = 31
4.5
5
6
No solution
Calculate the value of e in the equation:
e + 4.8 = 11.3
No solution
7.5
5.5
6.5
Determine the value of n in the equation:
n × 7.4 = 37
5
No solution
4.5
6
x<8
x>8
x≤8
x≥8
x<7
x>7
x≤7
x≥7
x<2
x>2
x≤2
x≥2
6<x
6>x
6≤x
6≥x
8<x
8>x
8≤x
8≥x
Substitute each given value of the variable to find which, if any, is a solution of the inequality.
x<12 x=12.5, 13.5, 22, 112
12.5
13.5
22
112
No Solution Given
Substitute each given value of the variable to find which, if any, is a solution of the inequality.
x>22 x=12.5, 13.5, 22, 112
12.5
13.5
22
112
No Solution Given
Name three solutions of the inequality.
u ≤ 15.99
13, 14, 15
14, 15, 16
16, 17, 18
15, 16, 17
At the right is a portion of the menu at a restaurant. The inequality m<6 represents the amount of money, m, that Jon has to spend on lunch at the restaurant. Which items can he choose for lunch? Mark all that apply.
Meatball Sub
Grilled Hot Dog
Cobb Salad
Two Grilled Hot Dogs
Three Grilled Hot Dogs
s <40
s>40
s≤40
s≥40
w <12
w>12
w≥12
w≤12
90
1183
1181
1.406
Add 15 to both sides
Subtract 15 from both sides
Divide both sides by 15
Multiply both sides by 15
Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality
If 13 + 7 = 20 which property of equality is illustrated by the equation (13 + 7) + 2 = 20 + 2
Addition property of equality
Subtraction property of equality
Multiplication property of equality
Division property of equality
None of the above
If 8 + 5 = 13 which property of equality is illustrated by the equation (8 + 5) + 4 = 13 + 4
Addition property of equality
Subtraction property of equality
Multiplication property of equality
Division property of equality
None of the above
Tell which property is illustrated:
4m = 60
4m/2 = 60/2
Addition property of equality
Subtraction property of equality
Multiplication property of equality
Division property of equality
None of the above
Tell which property of equality is being shown:
9x - 4 = 33
(9x - 4) + 3 = 33 + 6
Addition property of equality
Subtraction property of equality
Multiplication property of equality
Division property of equality
None of the above
Select all the equations that are equivalent to 8k = 20
8k - 4 = 20 + 4
8k x 3 = 20 x 3
8k x 5 = 20/5
8k/4 = 20/4
8k + 10 = 20 + 10
Which expressions are equivalent to 18x - 6. Select all that apply
6(3x - 1)
12x - 6 - 6x
3(9x - 2)
2(9x -3)
16.4x - 6 + 1.6x
What property of equality is shown below?
25 + d = 36
25 + d - 25 = 36 - 25
addition property of equality
subtraction property of equality
division property of equality
multiplication property of equality
What property of equality is shown below?
y - 12 = 30
y -12 + 12 = 30 +12
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
What property of equality is show below?
7n=28
7n ÷ 7 = 28 ÷ 7
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
What property of equality is shown below?
5m + 4 = 19
5m + 4 - 4 = 19 - 4
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
What property of equality is shown below?
y⋅ 7 = 7 ⋅ 7
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
What property of equality is shown below?
10 + d = 25
10 + d -10 = 25 - 10
addition property of equality
subtraction property of equality
division property of equality
multiplication property of equality
What property of equality is shown below?
y⋅ 8 = 8 ⋅ 8
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
What property of equality is shown below?
y - 6 = 20
y - 6 + 6 = 20 + 6
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
4x = 72
3(x – 7) = 42
∠B≅∠B
If PQ = RS then RS = PQ
If ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C
<A≅<A
If 2x=3x−5 , then 4x=6x−10
True
False
If 2x=3x−5 , then 2x−6=3x−11
True
False
If 2x=3x−5 , then 5x=5x−5 .
True
False
1 * p = p
9w=4x Solve for w.
w=4x−9
w=49x
w=94x
w=32x
a number b is at least -16
6 times a number x is at most 47
x - 2 < 5
2 ≥ y - 12
b ÷ 2 > 4
12 ≥ 6w
x - 5 ≤ 10 ; x = 6
y + 4 < 16 ; y = 13
four more than a number is less than 17
a number, t, divided by 80 is at most 5.25
Will practices at a batting cage. The table shows the total cost based on the number of tokens purchased. Which of the following is the independent variable in this situation?
number of tokens
total cost
$7.00
Olivia earned $5 for every A she got on her report card.
y = money earned
x = A's on report card
The dependent variable is:
y = money
x = A on report card
In the table, the bubble machine can produce 12 giant bubbles in one minute. Bubbles is the ______________. (Hint: What is the input value and what is the output value?)
independent variable
dependent variable
On a graph, which axis typically shows the independent variable?
x-axis
y-axis
neither
On a graph, which axis typically shows the dependent variable?
x-axis
y-axis
neither
What is the pattern in the table above?
multiplying the number of shots by 3
adding 2 to the number of shots
adding 1 to the number of shots
dividing the number of shots by 3
What is the algebraic equation for this table?
y = x + 3
y = 3x
y = x ÷ 3
y = x - 3
A(n) _____________ variable depends on or is changed by another variable.
dependent
independent
The input in a function is also known as what?
Independent Variable
Dependent Variable
Additive Relationship
The output in a function is also known as the:
independent variable
magma or molten rock
dependent variable
function rule
Mrs. Pangrazio sold chocolate chip cookies for $2.00 each. The total amount collected on Friday was $50.00. The total amount collected on Saturday was $80.00. Name the independent variable.
Number of cookies sold.
Total amount of money collected.
Glasses of milk
y
Which equation matches the table?
y = x + 5
y = 5x
y = x - 5
Select the rule/equation that best represent the table.
y = 2x + 3
y = x + 6
y = -3x + 4
y = 3x
x≤7
If graphed on a number line, this would be an open circle.
If graphed on a number line, this would be a closed circle.
When you graph an inequality, you use a closed dot when you use which symbols?
≤, ≥
<, >
≤, <
≥, >
When graphing an inequality, you use an open dot when you use which symbols?
<, >
≤, ≥
≤, <
≥, >
In the table, Bubbles is the ______________.
independent variable
dependent variable
In the table, Bubbles is the ______________.
independent variable
dependent variable
Sarah is bringing treats to her elementary school class on her birthday. The number of treats she brings in is based on the number of students in her class.
t = the number of treats
s = the number of students
Which of the variables is INDEPENDENT?
s
t
m = the amount of money Sarah will raise
d = the distance Sarah walks
Which of the variables is dependent?
Identify the independent variable:
The amount of money, m, earned if t raffle tickets are sold
money, m
tickets, t
Changes in the _________ variable causes changes in the _________ variable.
independent; dependent
dependent; independent
Tim got 3 pieces candy for every house he trick or treated at.
c = candy
h = house
In this scenario, candy is the _________________ variable.
independent
dependent
Carey and Justin are raising money to purchase books for their school's library. The more money they raise, the more books they will be able to purchase for the library.
m = the amount of money Carey and Justin raise
b = the number of books Carey and Justin will be able to purchase
In this scenario, the number of books is the _________________ variable.
independent
dependent
In order to earn extra spending money, Dalton babysits children after school. The greater the number of hours he babysits, the more money he earns.
h = the number of hours Dalton babysits
m = the amount of money Dalton earns
Which of the variables is DEPENDENT?
h
m
In the United States House of Representatives, the number of Representatives from a state is calculated based on its population.
r = the number of Representatives
p = the population of a state
Which of the variables is INDEPENDENT?
r
p
t = the number of treats
s = the number of students
Which of the variables is independent?
m = the amount of money Sarah will raise
d = the distance Sarah walks
Which of the variables is dependent?
h = the number of hours Dalton babysits
m = the amount of money Dalton earns
Which of the variables is dependent?
Carey and Justin are raising money to purchase books for the library. The more money they raise, the more books they will be able to purchase for the library.
Which of the variables is dependent?
amount of money raised
number of books purchased after raising the money
c = the number of costumes Paco's daughter will require
d = the number of dances Paco's daughter plans to perform
Which of the variables is independent?
Describe the relationship of this table in words:
The value of y is 22 more than the value of x.
The value of y is 22 times the value of x.
The value of y is 22 less than the value of x.
None of these
Write an equation for the table:
y = 22/x
y = 22x
y = x + 22
y = x - 22
Describe the relationship of the table in words:
The value of b is 14 more the value of a.
The value of b is 14 times the value of a.
The value of b is 28 times the value of a.
None of these.
Write an equation for the table:
b = 28a
b = 14/a
b = a + 14
b = 14a
Describe the relationship of the table in words:
The value of y is 30 less than the value of x.
The value of y is 30 more than the value of x.
The value of y is 30 times the value of x.
The value of y is equal to the value of x.
Write an equation:
y = x/30
y = 30x
y = x + 30
y = x - 30
What are the two values missing from the table?
1, 2
6, 7
7, 9
6, 8
Describe the relationship in words:
The value of n is 0 less than m.
The value of n is 4 times m.
The value of n is 3 times m.
The value of n is 3 more than m.
Write an equation:
m = 4/m
m = 4 + m
m = 3m
m = 4m
Fill in the missing values:
6, 8
4, 6
6, 10
None of these
A town fair charges $6 for general admission and $2.50 for each exhibit. Choose an equation to find the cost of the missing values.
e + c
$6 + $2.50
$6 + $2.50e
$2.50 + $6c
A town fair charges $6 for general admission and $2.50 for each exhibit. Use the equation $6 + $2.50c to find the cost for 7 exhibits.
$6 + $2.50(7) = $23.50
$6 + $2.50 = $8.50
$6(7) + $2.50 = $44.50
None of these
A town fair charges $6 for general admission and $2.50 for each exhibit. Use the equation $6 + $2.50c to find the cost for 10 exhibits.
$6 + $2.50(10) = $31
$6 + $2.50 = $8.50
$6(10) + $2.50 = $62.50
None of these
Use the equation: b = 5a + 6 to complete the table.
20, 25
21, 26
80, 90
15, 12
Use the equation y = 4x + 3 to find the 2 missing values.
12, 15
47, 52
14, 18
15, 19
Dave walks to the store every day. Jim also walks to the store every day, but lives 3 blocks further away. Which equation represents the situation?
J = D + 3
D = J + 3
J = D*3
D = J*3
Ben drew a rectangle. The length of his rectangle is 1/3 the width of the rectangle.
What is the length of the triangle when the width is 12?
24
36
4
12
Complete the table and chose the graph of the equation.
Diane spends three times the amount on clothes each year as her husband Jim. Which equation represents the situation?
J = D + 3
D = J + 3
J = D*3
D = J*3
Kate's father will add $4 to the other donations she collects for the school fund drive.
Let d=the other donations.
Let t=total. t = d + 4
What is the total when the other donations were $100?
$104
$96
$400
$25
Complete the table and chose the graph of the equation.
Forensic anthropologists analyze skeletons to help solve crimes. They can use the length of a femur bone to estimate the height of a skeleton. The height of a skeleton is about 30 inches taller than twice the length of the femur bone. (h) height, (f) femur. Which equation represents the situation?
h = 2(30) + f
h = 2(f + 30)
f = 2(h) + 30
h = 2(f) + 30
People get energy from the food they eat. This energy is measured in calories. When you exercise, you use up or burn calories. The picture shows about how many calories a 120-pound person burns each minute bowling. How many calories does a 120-pound person burn in 3 hours of bowling?
720 calories
12 calories
480 calories
1440 calories
Which equation represents the table?
y=521x +1
y=521x −1
y = x +28
y = 532x
Which is the graph of the equation:
y=21x−2Which equation represents the relationship?
y = x + 3
x = y + 3
y = 4x
x = (1/4)y
Which equation represents the relationship?
a = b/5
a = b*5
b = a*5
b = a + 8
Identify the dependent variable.
The amount of wall space, s, in the bedroom and the amount of paint, p, needed to paint the bedroom.
s
p
6<x
6>x
6≤x
6≥x
231
1331
4733
43121
Write an equation for the table
Write an equation for the table
Use the equation to complete the table
Use the equation to complete the table
Use the equation to complete the table
Is the equation correct?
Write an equation to find the cost of the tickets. How much would 6 tickets cost?
Forensic anthropologists analyze skeletons to help
solve crimes. They can use the length of a femur
bone to estimate the height of a skeleton. The height
of a skeleton is about 30 inches taller than twice the
length of the femur bone. Let h represent the height
of a skeleton. Let f represent the length of a femur
bone. Write an equation to represent the height
of a skeleton.
Stacy has 3 collector’s cards. She receives 2 more cards each week that she volunteers at the student center. Let x = the number of weeks. Let y = the number of collector’s cards. Which equation represents the amount of cards Stacy has?
y = 3x - 2
Dimitri wrote the equations y = 3x and y = x + 3. Which equation represents the graph on the right? Identify a point on the line that is not shown on this graph.
y = x + 1; a point on the line is (1,3)
y =2x; a point on the line is (0,0)
y=x+1; a point on the line is (0,0)
Becca’s dog-walking business started with 1 dog. By the end of the first month, she was walking 2 additional dogs per month. The graph represents the situation. How many dogs was Becca walking by the end of the third month?
People get energy from the food they eat. This energy is measured
in calories. When you exercise, you use up or burn calories. The
picture at the right shows about how many calories a 125-pound
person burns each minute bowling. How many calories does a
125-pound person burn in 2 hours of bowling?
Write an equation that describes the relationship
shown in the table on the right.
Identify the independent variable
The number of hours, h, spent studying and the score, s, on a test
Identify the dependent variable
The number of students, s, ahead of you in the lunch line and the time, t, it takes you to get lunch
