AnswersAZ-Intermediate Algebra A MA311Solving Linear Equations: Variable on One Side

Solving Linear Equations: Variable on One Side Answers

0 verified answers4 views
1
Free Preview

Rahul solved the equation 2(x – ) – x = . In which step did he use the addition property of equality?

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
2
Free Preview

What are the possible steps involved in solving the equation shown? Select three options.3.5 + 1.2(6.3 – 7x) = 9.38

A
Add 3.5 and 1.2.
B
Distribute 1.2 to 6.3 and –7x .
C
Combine 6.3 and –7x .
D
Combine 3.5 and 7.56.
E
Subtract 11.06 from both sides.
3

Sonji paid $25 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?

A
$11
B
$12
C
$13
D
$14
4

Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?

A
5n – 300 = 1,500
B
5n + 300 = 1,500
C
5n – 200 + 100n = 1,500
D
5n – 100 – 200n = 1,500
5

Consider the functions shown on the graph.

Question illustration
A
0.0
B
0.5
C
1.5
D
3.0
6

A number, n, is added to 15 less than 3 times itself. The result is 101. Which equation can be used to find the value of n?

A
3n – 15 + n = 101
B
3n + 15 + n = 101
C
3n – 15 – n = 101
D
3n + 15 – n = 101
7

Sean began jogging to live a healthier lifestyle. On his first run, he ran one-half mile. He increased his workouts by adding two miles a month to his run. He wrote the equation f(x)= 0.5 + 2x to model his progress. The variable x represents the number of

A
miles he runs.
B
months he runs.
C
miles he ran the first day.
D
calories he burns.
8

The equation 9(u – 2) + 1.5u = 8.25 models the total miles Michael traveled one afternoon while sledding, where u equals the number of hours walking up a hill and (u – 2) equals the number of hours sledding down the hill. Which is the value of u?

A
u = 0.25
B
u = 0.75
C
u = 1.1
D
u = 2.5
9

Two functions are defined as shown.f(x) = x – 2g(x) = –1Which graph shows the input value for which f(x) = g(x)?

Question illustration
A
Option
B
Option
C
Option
D
Option
10

Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?

A
p – 7 = 13 – 3p
B
2p – 7 = 13
C
3p – 7 = 13 – p
D
4p – 7 = 13

Did you find these answers helpful?