AnswersEAP-Algebra Functions and Data Analysis A CRTest

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What is the value of x in the equation ?

Question illustration
A
StartFraction 2 Over 3 EndFraction left-parenthesis StartFraction one-half EndFraction. x plus 12 right-parenthesis equals left-parenthesis StartFraction one-half EndFraction left-parenthesis StartFraction one-third EndFraction x plus 14 right-parenthesis minus 3.
Option A
B
StartFraction one-half EndFraction left-parenthesis n minus 4 right-parenthesis minus 3 equals 3 minus left-parenthesis 2 n plus 3 right-parenthesis.
Option B
C
2
D
13
2
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Kate begins solving the equation (6x – 3) = (6x – 4). Her work is correct and is shown below.(6x – 3) = (6x – 4)4x – 2 = 3x – 2

Question illustration
A
The equation has infinite solutions.
B
The equation has one solution: x = 0.
C
The equation has one solution: x = .
Option C
D
The equation has no solution.
3

In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police station and the fire station?

A
1 mile
B
3 miles
C
4 miles
D
6 miles
4

Alberto uses the steps below to solve the equation .Step 1: Step 2: Step 3: Step 4: Step 5: Step 6:

Question illustration
A
the addition property of equality
B
the identity property of addition
C
the multiplication property of equality
D
the identity property of multiplication
5

Solve the equation.–9x + 1 = –x + 17

A
x = –8
B
x = –2
C
x = 2
D
x = 8
6

Which input value produces the same output value for the two functions on the graph?

Question illustration
A
x = –3
B
x = –1
C
x = 1
D
x = 3
7

Solve the equation.y + 3 = –y + 9

A
y = 1
B
y = 3
C
y = 6
D
y = 9
8

Which method correctly solves the equation using the distributive property?

Question illustration
A
Negative 0.2 (x minus 4) = negative 1.7. Negative 0.2 x minus 4 = negative 1.7. Negative 0.2 x = 2.3. x = negative 11.5.
Option A
B
Negative 0.2 (x minus 4) = negative 1.7. x minus 4 = 0.34. x = 4.34.
Option B
C
Negative 0.2 (x minus 4) = negative 1.7. Negative 0.2 x + 0.8 = negative 1.7. Negative 0.2 x = negative 2.5. x = 12.5.
Option C
D
Negative 0.2 (x minus 4) = negative 1.7. Negative 0.2 x minus 0.8 = negative 1.7. Negative 0.2 x = negative 0.9. x = 4.5.
Option D
9

When solving the equation, which is the best first step to begin to simplify the equation?

Question illustration
A
(negative 2) (Negative 2) (x + 3) = negative 10 (negative 2)
Option A
B
Negative one-half (negative 2) (x + 3) = negative 10 (negative one-half)
Option B
C
StartFraction negative 2 over 2 EndFraction (x + 3) = StartFraction negative 10 over 2 EndFraction
Option C
D
StartFraction negative 2 over negative 10 EndFraction (x + 3) = StartFraction negative 10 over negative 10 EndFraction
Option D
10

Fiona solved the equation shown. – (6x – 3) = –

Question illustration
A
Simplify by combining like terms.
B
Simplify by using addition property of equality.
C
Simplify by using the multiplication property of equality.
D
Simplify by using the division property of equality.
11

What is the solution to the linear equation?6k + 10.5 = 3k + 12

A
k = 0.5
B
k = 2
C
k = 7.3
D
k = 9
12

What is the value of n in the equation ?

Question illustration
A
n = 0
B
n = 2
C
n = 4
D
n = 6
13

What is the solution to the linear equation? + p = + p

Question illustration
A
p = 1
B
p = 2
C
p = 8
D
p = 10
14

Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x = 3x + 15 – 113x – 4 = 3x + 4

A
The equation has one solution: x = 0.
B
The equation has one solution: x = 8.
C
The equation has no solution.
D
The equation has infinite solutions.
15

Verona is solving the equation -3 + 4x = 9. In order to isolate the variable term using the addition property of equality, which number should she add to both sides of the equation?

A
–4
B
3
C
–3
D
4
16

Each morning Rin rides 1.5 miles to school and then rides home in the afternoon. Later in the evening, she rides to the park and back home. Over the 5 school days, she rides a total of 25 miles. Which equation can be used to find the distance she rides each evening?

A
1.5 + x = 25
Option A
B
1.5 + 1.5 + x = 25
Option B
C
5 (1.5 + x) = 25
Option C
D
5 (1.5 + 1.5 + x) = 25
Option D
17

Deepak wrote out the steps to his solution of the equation – 3x – 5 + 4x = –. Which step has an incorrect instruction?

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
18

The tables represent the functions f(x) and g(x).

Question illustration
A
x = –3
B
x = –1
C
x = 0
D
x = 1
19

On a science test, 2 points are deducted from a total of 100 points for each question answered incorrectly. Trevor scored an 84 on the test. The equation 100−2x=84, where x represents the number of questions answered incorrectly, represents the situation. How many questions did Trevor answer incorrectly?

A
8 questions
B
9 questions
C
12 questions
D
13 questions
20

What is the value of p in the equation?

Question illustration
A
–20
B
–2
C
5
D
10

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