Equations — Test Answers

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1
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Which shows how to solve the equation negative 4 fifths x is equal to 80 for x in one step?

A
negative 4 fifths negative 5 x is equal to 80 times negative 5
B
negative 4 fifths open paren negative 5 fourths close paren x is equal to 80 times open paren negative 5 fourths close paren
C
negative 4 fifths 5 x is equal to 80 times 5
D
negative 4 fifths 5 fourths x is equal to 80 times 5 fourths
2
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Each morning, Jon rides 1 point 5 miles to school and then rides to his aunt’s house after school. Later in the evening, he takes the same route to get back to his house. Over 5 days, he rides 44 miles. Which equation can be used to find x , the distance from school to his aunt’s house?

A
2 times open paren 1 point 5 plus x close paren is equal to 44
B
5 times open paren 1 point 5 plus x close paren is equal to 44
C
5 times open bracket 2 times open paren 1 point 5 plus x close paren close bracket is equal to 44
D
5 plus open bracket 2 times open paren 1 point 5 plus x close paren close bracket is equal to 44
4

What is another way to write the equation 7 eighths x plus 3 fourths is equal to negative 6 ?

A
the fraction with numerator 7 plus 3 and denominator 8 plus 4 x is equal to negative 6
B
7 eighths x minus 3 fourths is equal to 6
C
7 times open paren x over 8 close paren plus 3 fourths is equal to negative 6
D
7 eighths plus 3 fourths x is equal to negative 6
5

When solving the equation, which is the best first step to begin to simplify the equation? negative 2 times open paren x plus 3 close paren is equal to negative 10

A
negative 1 half negative 2 open paren x plus 3 close paren is equal to negative 10 times open paren negative 1 half close paren
B
negative 2 over 2 times open paren x plus 3 close paren is equal to negative 10 over 2
C
negative 2 times negative 2 times open paren x plus 3 close paren is equal to negative 10 times negative 2
D
negative 2 over negative 10 times open paren x plus 3 close paren is equal to negative 10 over negative 10
6

Nari says, “The sum of 10 and one-third of a number is 25 ” She uses the bar model to write an equation to represent her statement. Expand Image Which equation can Nari write using the bar model?

A
25 is equal to 10 minus 1 third n
B
25 is equal to 10 plus 1 third n
C
10 is equal to 1 third n minus 25
D
10 is equal to 1 third n plus 25
8

Evelyn bought 8 point 4 gallons of gas for 23 point 9 4 dollars Which equation can be used to determine the price of each gallon of gas?

A
x over 8 point 4 is equal to 23 point 9 4
B
x over 23 point 9 4 is equal to 8 point 4
C
23 point 9 4 x is equal to 8 point 4
D
8 point 4 x is equal to 23 point 9 4
9

Which equation, when solved, results in a different value of x than the other three?

A
8 point 3 minus 0 point 6 x is equal to 11 point 3
B
11 point 3 is equal to 8 point 3 plus 0 point 6 x
C
8 point 3 is equal to negative 0 point 6 x plus 11 point 3
D
11 point 3 minus 0 point 6 x is equal to 8 point 3
10

Which method correctly solves the equation using the distributive property? negative 0 point 2 times open paren x minus 4 close paren is equal to negative 1 point 7

A
negative 0 point 2 times open paren x minus 4 close paren is equal to negative 1 point 7 negative 0 point 2 x minus 0 point 8 is equal to negative 1 point 7 negative 0 point 2 x is equal to negative 0 point 9 x is equal to 4 point 5
B
negative 0 point 2 times open paren x minus 4 close paren is equal to negative 1 point 7 x minus 4 is equal to 0 point 3 4 x is equal to 4 point 3 4
C
negative 0 point 2 times open paren x minus 4 close paren is equal to negative 1 point 7 negative 0 point 2 x minus 4 is equal to negative 1 point 7 negative 0 point 2 x is equal to 2 point 3 x is equal to negative 11 point 5
D
negative 0 point 2 times open paren x minus 4 close paren is equal to negative 1 point 7 negative 0 point 2 x plus 0 point 8 is equal to negative 1 point 7 negative 0 point 2 x is equal to negative 2 point 5 x is equal to 12 point 5
12

Yuri’s sister Karina is 12 years old. In the given equation, y represents Yuri’s age in years. 12 is equal to 3 y minus 2 Which statement accurately relates their ages?

A
Karina is 2 years younger than triple Yuri’s age.
B
Karina is 3 years younger than twice Yuri’s age.
C
Yuri is 2 years younger than triple Karina’s age
D
Yuri is 3 years younger than twice Karina’s age.
15

Which step could be used to solve x plus 3 point 6 is equal to negative 1 point 7 for x in one step? Choose two correct answers.

A
Add 3 point 6 to both sides.
B
Add 1 point 7 to both sides.
C
Add negative 3 point 6 to both sides.
D
Subtract 3 point 6 from both sides.
E
Add negative 1 point 7 to both sides.
16

Each morning Rin rides 1 point 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
5 times open paren 1 point 5 plus 1 point 5 plus x close paren is equal to 25
B
1 point 5 plus 1 point 5 plus x is equal to 25
C
5 times open paren 1 point 5 plus x close paren is equal to 25
D
1 point 5 plus x is equal to 25
19

Which statement can be represented by the equation 18 divided by m is equal to 7 point 2 ?

A
A number, m , divided by 18 is seven point two.
B
Eighteen decreased by a number, m , is seven point two.
C
A number, m , less than 18 is seven point two.
D
Eighteen divided by a number, m , is seven point two.

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