Caroline is a full-time college student planning a spring break vacation. To earn enough money for the trip, she has taken a part-time job at the local bank that pays $15.00/hr, and she opened a savings account with an initial deposit of $400 on January 15. She arranged for direct deposit of her payroll checks. Spring break begins March 20, and the trip will cost approximately $2,500.

How many hours will she have to work to earn enough to pay for her vacation?

If she can only work 4 hours per day, how many days per week will she have to work?

Solving Linear Equations Practice Quiz

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Solving Linear Equations Practice

Authored by Amanda Drozdowski

Mathematics

9th - 12th Grade

NJ covered

Used 1+ times

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12 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following represents the solution to the equation?
$3x+5=20$

$x=5$

$x=15$

$x=10$

$x=3$

Tags

NJ.MATH.9-12.A.REI.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If $2x-4=10$ , what is the value of x?

$x=7$

$x=6$

$x=8$

$x=5$

Tags

NJ.MATH.9-12.A.REI.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following equations is a linear equation?

$g\left(x\right)=x^2+3$

$f\left(x\right)=5x-2$

$g\left(x\right)=\sqrt[]{x}$

$f\left(x\right)=\frac{1}{x}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve for x: $4\left(x-1\right)=12$

$x=4$

$x=3$

$x=5$

$x=2$

Tags

NJ.MATH.9-12.A.REI.B.3

MATCH QUESTION

1 min • 5 pts

Match the following terms to their correct definitions.

Equation

A symbol used to represent an unknown quantity.

Inequality

A value that satisfies an equation.

Solution

A mathematical statement asserting the equality of two expressions.

Coefficient

A mathematical relationship showing that two expressions are not equal.

Variable

A number or variable that multiplies a term in an expression.

DROPDOWN QUESTION

1 min • 5 pts

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Complete the blank to create an equation to represent how many miles a customer drove if their total cost was $80. Then, solve for the number of miles driven.
(a) (b) + (c) = (d)
x = (e) miles

0.20

150

0.02

130

Tags

NJ.MATH.9-12.A.REI.B.3

NJ.MATH.9-12.A.REI.A.1

NJ.MATH.9-12.A.CED.A.1

MULTIPLE SELECT QUESTION

45 sec • 2 pts

Which of the following are valid methods for solving the linear equation?
$3x-5=20$

Subtract 5 from both sides to isolate the term with x.

Divide both sides by 3 to solve for x.

Add 20 to both sides and then divide by 3.

Rewrite the equation as 3x=20−5

Factor the equation to find the roots of x.

Tags

NJ.MATH.9-12.A.REI.B.3

NJ.MATH.9-12.A.REI.A.1

10.

DRAG AND DROP QUESTION

1 min • 3 pts

Solve each equation given and match it with the corresponding solution.
$13x-22=2\left(9x+10\right)$ → x = (a)
$3\left(3-x\right)=5\left(2x+7\right)$ → x = (b)
$2x-9=5x$ → x = (c)

$-\frac{42}{5}$

-2

-3

\frac{42}{5}

-8

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Solving Linear Equations Practice

Which of the following represents the solution to the equation?
$3x+5=20$

If $2x-4=10$ , what is the value of x?

Which of the following equations is a linear equation?

Solve for x: $4\left(x-1\right)=12$

Match the following terms to their correct definitions.

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Complete the blank to create an equation to represent how many miles a customer drove if their total cost was $80. Then, solve for the number of miles driven.
(a) (b) + (c) = (d)
x = (e) miles

Which of the following are valid methods for solving the linear equation?
$3x-5=20$

Eleanor incorrectly solved the equation. Select the first step in which Eleanor makes an error.

Use the choices to complete the steps in solving the linear equation.

Solve each equation given and match it with the corresponding solution.
$13x-22=2\left(9x+10\right)$ → x = (a)
$3\left(3-x\right)=5\left(2x+7\right)$ → x = (b)
$2x-9=5x$ → x = (c)

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Solving Linear Equations Practice

Which of the following represents the solution to the equation? 3x+5=203x+5=203x+5=20

If 2x−4=102x-4=102x−4=10 , what is the value of x?

Which of the following equations is a linear equation?

Solve for x: 4(x−1)=124\left(x-1\right)=124(x−1)=12

Match the following terms to their correct definitions.

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Complete the blank to create an equation to represent how many miles a customer drove if their total cost was $80. Then, solve for the number of miles driven.​ (a) ​ (b) + (c) = ​ (d) x = ​ (e) miles

Which of the following are valid methods for solving the linear equation? 3x−5=203x-5=203x−5=20

Eleanor incorrectly solved the equation. Select the first step in which Eleanor makes an error.

Use the choices to complete the steps in solving the linear equation.

Solve each equation given and match it with the corresponding solution. 13x−22=2(9x+10)13x-22=2\left(9x+10\right)13x−22=2(9x+10) → x = ​ (a) 3(3−x)=5(2x+7)3\left(3-x\right)=5\left(2x+7\right)3(3−x)=5(2x+7) → x =​​ (b) 2x−9=5x2x-9=5x2x−9=5x → x = ​​ ​ (c)

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Which of the following represents the solution to the equation?
$3x+5=20$

If $2x-4=10$ , what is the value of x?

Solve for x: $4\left(x-1\right)=12$

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Complete the blank to create an equation to represent how many miles a customer drove if their total cost was $80. Then, solve for the number of miles driven.
(a) (b) + (c) = (d)
x = (e) miles

Which of the following are valid methods for solving the linear equation?
$3x-5=20$

Solve each equation given and match it with the corresponding solution.
$13x-22=2\left(9x+10\right)$ → x = (a)
$3\left(3-x\right)=5\left(2x+7\right)$ → x = (b)
$2x-9=5x$ → x = (c)