Solving Linear and Quadratic Equations

Find the solution.

• (-3,5) and (10,20)

• (5,3) and (1,0)

• (2,16) and (10,48)

• (-30,6) and (9,2)

Tags

CCSS.HSA.REI.C.7

Solve for k:
3k + 5 = 23

• k = 4

• k = 5

• k = 6

• k = 7

Tags

CCSS.7.EE.B.4A

Solve: 3(x-4) = -3

• 3

• -3

• 5

• -5

Tags

CCSS.7.EE.B.4A

Use the square root property to solve the Quadratic Equation.
2(x - 4)² = 200

• ±10

• -14, 6

• -6, 14

• 100

Tags

CCSS.HSA-REI.B.4B

Solve the equation using the zero product property.
(x- 9)(x + 3) = 0

• x = 3 or x = 9

• x = 3 or x = -9

• x + -3 or x = 9

• x = -3 or x = -9

Tags

CCSS.HSA-REI.B.4B

Solve:
-4x = 24

• 20

• -20

• 6

• -6

Answer explanation

To solve -4x = 24, divide both sides by -4 to isolate x. -4x / -4 = 24 / -4, x = -6. Therefore, the correct answer is -6.

Tags

CCSS.6.EE.B.7

Solve:
7x - 3x - 8 = 24

• 8

• -8

• 3.2

• 4

Answer explanation

To solve the equation, combine like terms: 7x - 3x = 4x. Then, add 8 to both sides to isolate x. 4x = 32, so x = 8. Therefore, the correct answer is 8.

Tags

CCSS.8.EE.C.7B

Solve:
7x + 19 = -2x + 55

• 4

• 14.8

• 8.2

• -4

Answer explanation

The correct answer is 4. By solving the equation, x = 4.

Solve:
2(2x + 3) = -6(x + 9)

• 1.2

• 6

• -6

• 7.5

Answer explanation

To solve the equation, first distribute the numbers: 4x + 6 = -6x - 54. Then, combine like terms: 10x + 6 = -54. Finally, solve for x: x = -6.

Solve the following equation,
3x + 6 = 21

• x = 9

• x = 5

• x = 15

• x = 27

Answer explanation

To solve the equation 3x + 6 = 21, first subtract 6 from both sides to get 3x = 15. Then divide by 3 to find x = 5, which is the correct answer choice.

Tags

CCSS.7.EE.B.4A