Quiz about Multi-Step & Literal Equations Practice

Question 1

Isolating a variable in a literal equation requires the use of ______ to undo the operations connected to it.

Accepted Answer

inverse operations

Answer

an eraser

Answer

apps that solve it for you

Question 2

What is the FIRST step in solving for "n" in this equation below:

$$\frac{-8n+39}{4}=15$$

Accepted Answer

Multiply both sides by 4 to cancel the denominator

Answer

Divide by -8 on both sides to cancel the coefficient

Answer

Subtract 39 from both sides to cancel the constant

Answer

answer not here

Question 3

How many solutions does this equation have?

-5(2x + 9) = 3(-15 + 4x) - 22x

Accepted Answer

infinitely many solutions

Answer

one solution

Answer

no solution

Answer

two solutions

Question 4

Solve for y:

5x - y = -16

Accepted Answer

y = 5x + 16

Answer

y = -21x

Answer

y = (-16/5)x

Answer

y = -5x - 16

Question 5

Solve for y:

-3x - 2y = 18

Accepted Answer

$$y=-\frac{3}{2}x-9$$

Answer

$$x=-\frac{2}{3}y-6$$

Answer

$$y=\frac{3}{2}x+9$$

Answer

y cannot be isolated unless you know the value of x

Question 6

What is the FIRST step in isolating c in this equation?

$$a=\frac{m-c}{x}$$

Accepted Answer

multiply both sides by x

Answer

subtract m from both sides

Answer

add c to both sides

Answer

divide both sides by m

Question 7

Solve for x:

$$-2\left(8-5x\right)=11x$$

Accepted Answer

x = -16

Answer

x = -1

Answer

x = -16/21

Answer

x = -1/3

Question 8

Which TWO equations are equivalent forms of 3x + 8y = 21 ?

(Hint... What does it look like if you isolate one of those variables?)

Accepted Answer

$$8y=-3x+21$$

Accepted Answer

$$y=-\frac{3}{8}x+\frac{21}{8}$$

Answer

$$3x=8y-21$$

Answer

$$x=\frac{8}{3}y-3\left(21\right)$$

Question 9

How many solutions does this equation have?

16 - 3(x - 7) = 23 + 4x

Accepted Answer

one solution

Answer

no solution

Answer

infinitely many solutions

Answer

two solutions

Question 10

Joseph, Ben, and Peyton solved the same equation but got different answers. Who is correct?

Accepted Answer

Peyton

Answer

Joseph

Answer

Ben

Question 11

Which set of steps can you use to isolate y in the equation?

$$2x+7y=-63$$

Accepted Answer

IN THIS ORDER:

Subtract 2x on both sides.

Divide both sides by 7.

Answer

IN THIS ORDER:

Divide both sides by 7.

Subtract 2x on both sides.

Answer

IN THIS ORDER:

Subtract 7y on both sides.

Divide by 2 on both sides.

Question 12

Which equation below has NO SOLUTION?

Accepted Answer

5x + 13 = -7 + 5x

Answer

12x - 6 = -6 + 12x

Answer

2.5x - 8 = -8

Answer

All of these have a solution

Question 13

Which equation below has INFINITE SOLUTIONS?

Accepted Answer

12x - 6 = -6 + 12x

Answer

2.5x - 4 = -4

Answer

2x + 13 = 13x + 2

Answer

All of these have no solution

Question 14

If g + h = rs, which TWO equations are also TRUE?

Accepted Answer

r = (g + h)/s

Accepted Answer

g = rs - h

Answer

r + s = gh

Answer

g - h = r/s

Question 15

If A + B = C, then what must be true?

Accepted Answer

B = C - A

Answer

A(B) = C

Answer

A - B = C

Answer

C/A = B

Question 16

Julio solved an equation where the variables canceled each other out and the remaining values were not equal. What does this mean?

Accepted Answer

The equation has no solution: There is no real number that could make the equation true.

Answer

The equation has one solution: exactly one number that makes the problem true.

Answer

The equation has infinitely many solutions: the variable can equal any real number.

Multi-Step & Literal Equations Practice

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics