AnswersTransition Mathematics for SeniorsSolving Linear Equations: Variable on One Side

Solving Linear Equations: Variable on One Side — Quiz Answers

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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 plus 15 minus n is equal to 101
B
3 n minus 15 plus n is equal to 101
C
3 n plus 15 plus n is equal to 101
D
3 n minus 15 minus n is equal to 101
3

Solve the equation. 2x minus 3 plus 4x is equal to 21

A
x is equal to 4
B
x is equal to negative 12
C
x is equal to negative 6
D
x is equal to 6
4

Solve the equation. negative 10x plus 1 plus 7x is equal to 37

A
x is equal to negative 12
B
x is equal to 15
C
x is equal to negative 15
D
x is equal to 12
6

The Allied Taxi Company charges 2 point 50 dollars to pick up a passenger and then adds 1 point 95 dollars per mile. Isaac was charged 27 point 46 dollars to go from one city to another. If x represents the number of miles driven by the taxi, which linear equation can be used to solve this problem, and how many miles did Isaac travel, rounded to the nearest tenth?

A
2 point 50x plus 1 point 95 is equal to 27 point 46 ; Isaac traveled 10 point 2 miles.
B
1 point 9 5 x plus 2 point 5 0 is equal to 27 point 4 6 ; Isaac traveled 15 point 4 miles.
C
1 point 95x plus 2 point 50 is equal to 27 point 46 ; Isaac traveled 12 point 8 miles.
D
2 point 50x plus 1 point 95 is equal to 27 point 46 ; Isaac traveled 11 point 8 miles.
8

What are the possible steps involved in solving the equation shown? Choose three correct answers. 3 point 5 plus 1 point 2 times open paren 6 point 3 minus 7x close paren is equal to 9 point 38

A
Subtract 11 point 06 from both sides.
B
Add 3 point 5 and 1 point 2 .
C
Combine 6 point 3 and negative 7 x .
D
Combine 3 point 5 and 7 point 56 .
E
Distribute 1 point 2 to 6 point 3 and negative 7 x .
9

Solve the equation. 5 x plus 8 minus 3 x is equal to negative 10

A
x is equal to 1
B
x is equal to negative 9
C
x is equal to 9
D
x is equal to negative 1
10

Two functions are defined as shown. f of x is equal to negative 1 half x minus 2 g of x is equal to negative 1 Which graph shows the input value for which f of x is equal to g of x ?

A
Image with description A coordinate grid with two lines. One line labeled f of x passes through point negative 4 comma 0, point negative 2 comma 0, and point 0 comma negative 2. The second line is labeled g of x and passes through point negative 3 comma negative 1, point 0 comma negative 1, and point 3 comma negative 1.
B
Image with description A coordinate grid with two lines. One line is labeled f of x and passes through point negative 2 comma 3, point 0 comma 1 and point 2 comma negative 1. The second line is labeled g of x and passes through point negative 3 comma negative 1, point 0 comma negative 1, and point 3 comma negative 1.
C
Image with description A coordinate grid with two lines. One line labeled f of x passes through point negative 4 comma 2, point negative 2 comma 0, and point negative 1 comma 1. The second line is labeled g of x and passes through point negative 3 comma negative 1, point negative 1 comma negative 1, and point 1 comma negative 1. They intersect at point negative 1, negative 1.
D
Image with description A coordinate grid with two lines. One line labeled f of x passes through point negative 4 comma 1, point negative 2 comma 0, and point 1 point 5 comma negative 1. The second line is labeled g of x and passes through point negative 3 comma negative 1, point 0 comma negative 1, and point 1 point 5 comma negative 1. They intersect at point.

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