Solving Equations TEST

Solve for x.

x - 9 = 15

• x = 23

• x = 6

• x = 24

• x = -24

Answer explanation

To solve for x, add 9 to both sides of the equation: x - 9 + 9 = 15 + 9. This simplifies to x = 24. Therefore, the correct answer is x = 24.

Tags

CCSS.6.EE.B.7

Solve for x:

8x - 10 = -34

• x = 2/11

• x = 3

• x = -3

• x = -24

Answer explanation

To solve for x, add 10 to both sides: 8x = -24. Then, divide by 8: x = -3. Thus, the correct answer is x = -3.

Tags

CCSS.7.EE.B.4A

What is the first step to complete when solving this equation?

10 - 3x = 4

• Add 10

• Subtract 10

• Add 3

• Divide by -3

Answer explanation

To isolate the variable x, the first step is to eliminate the constant on the left side. Subtracting 10 from both sides of the equation 10 - 3x = 4 is necessary to simplify it, making 'Subtract 10' the correct choice.

Tags

CCSS.7.EE.B.4A

Solve for x:

• x = 2/5

• x = 7

• x = 10

• x = 3

Answer explanation

To solve for x, substitute values into the equation. Testing x = 10 satisfies the equation, making it the correct choice. The other options do not satisfy the equation.

Tags

CCSS.6.EE.B.7

Solve -3x + 5 = -16

• 11/3

• 2

• -7

• 7

Answer explanation

To solve -3x + 5 = -16, subtract 5 from both sides to get -3x = -21. Then, divide by -3 to find x = 7. Thus, the correct answer is 7.

Tags

CCSS.7.EE.B.4A

15 = 2a + 7

• 2

• 4

• 12

• 11

Answer explanation

To solve for a, subtract 7 from both sides: 15 - 7 = 2a, which simplifies to 8 = 2a. Dividing both sides by 2 gives a = 4. Thus, the correct answer is 4.

Tags

CCSS.7.EE.B.4A

2x - 3 + 4x = 27

• 12

• 4

• 5

• 15

Answer explanation

To solve for x, combine like terms: 2x + 4x = 6x. Then, add 3 to both sides: 6x = 30. Finally, divide by 6: x = 5. Thus, the correct answer is 5.

Tags

CCSS.8.EE.C.7B

The objective when solving an equation is to....

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.

Answer explanation

The objective when solving an equation is to isolate the variable, which means getting the variable alone on one side of the equation to find its value. This is the fundamental step in solving equations.

Tags

CCSS.7.EE.B.4A

3 ( x + 1 ) - 5 = 5x -2

• x = -1

• x = 0

• x = -2

• x = 1

Answer explanation

To solve 3(x + 1) - 5 = 5x - 2, first distribute: 3x + 3 - 5 = 5x - 2. Simplifying gives 3x - 2 = 5x - 2. Rearranging leads to 0 = 2x, thus x = 0. The correct answer is x = 0.

Tags

CCSS.8.EE.C.7B

-16 + 7n + n = 8n + 4n

• -4

• -14

• -16

• 11

Answer explanation

To solve -16 + 7n + n = 8n + 4n, combine like terms: -16 + 8n = 12n. Rearranging gives -16 = 12n - 8n, leading to -16 = 4n. Dividing by 4 results in n = -4, which is the correct answer.