Quiz about 2025 Algebra 1_COL1_V1 Solving Equations

Question 1

Solve the equation shown below:

$$5\left(1-x\right)=11\ -\ 5x$$

Accepted Answer

No Solution

Answer

12

Answer

15

Answer

All Real Numbers

Question 2

Solve the equation shown below:

$$\left|7x\ +\ 7\right|\ =\ 63$$

Which of the following represents a solution to the equation?

Accepted Answer

-10

Answer

-8

Answer

10

Answer

no solution

Question 3

Solve the equation show below:

$$9\left|6x\ -\ 5\right|-8=\ 37$$

Select the 2 solutions that make the equation true.

Accepted Answer

$$\frac{5}{3}$$

Accepted Answer

0

Answer

$$\frac{37}{27}$$

Answer

$$-2$$

Answer

No Solution

Question 4

Solve the equation show below:

$$3\left|-8+7x\right|+8=-16$$

Which of the following represents the solution(s) to the equation?

Accepted Answer

No Solution

Answer

$$-\frac{3}{5}$$

Answer

0

Answer

$$\frac{5}{3}$$

Answer

-1

Question 5

Solve the equation below for "a".

$$ak\ =\ w\ -\ v\ $$

Accepted Answer

$$a\ =\ \frac{w\ -\ v\ }{k}$$

Answer

$$a\ =\ \frac{-w\ +\ v}{k}$$

Answer

$$a\ =\ \frac{k}{w\ -\ v}$$

Answer

$$a\ =\ \frac{w\ +\ v}{k}$$

Question 6

Solve the equation for "x"

$$u\ =\ \frac{xk\ +\ v}{xw}$$

Accepted Answer

$$x\ =\ \frac{v}{uw\ -\ k}$$

Answer

$$x\ =\ \frac{-uw\ +\ k\ }{v}$$

Answer

$$x\ =\ -\ \frac{v}{uw\ -\ k\ }$$

Answer

$$x\ =\ vuw\ -\ vk$$

Question 7

An equation and its steps needed to solve are shown below:

Given: $$-3\left(2x\ -\ 10\right)\ =\ -18$$

Step 1: $$-6x\ -\ 30\ =\ -18$$

Step 2: $$-6x\ =\ 12$$

Step 3: x = - 2

Based on the steps provided, between which steps was a property used incorrectly.

Accepted Answer

Between the given and step 1

Answer

Between step 1 and step 2

Answer

Between Step 2 and Step 3

Answer

The equation is solved correctly

Question 8

Maria is provided an equation, which is shown below.

$$\frac{2}{3}\left(x\ +\ 6\right)\ =\ 10$$

Step 1: $$\frac{2}{3}x\ +\ 4\ =\ 10\ $$

Step 2: ?

Based on her work, which property would Maria used to get the equation for step 2?

Accepted Answer

Subtraction Property of Equality

Answer

Distributive Property

Answer

Associative Property

Answer

Multiplication Property of Equality

Answer

Addition Property of Equality

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