Algebra Equivalent Problems

For the equation y - 3 = 2(x + 4), the line has a slope of 2 and contains what point?

• (-4, 3)

• (3, -4)

• (-3, -4)

• (-4, -3)

Which situation is best represented by the function f(x), where f(x) = 12x + 5?

• An office-supply store sells x boxes of ballpoint pens that contain a dozen pens per box for $5 each.

• An Olympic swimmer trains by swimming 12 kilometers on each of x weekdays and 5 kilometers on each day of the weekend.

• An algebra quiz has x problems worth 12 points each plus 5 extra-credit problems worth 5 points each.

• A company sells x baseball caps for $12 each and charges a $5 shipping fee.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Simplify the following expression:

3(2x - 4) + 6x - 1

• 12x - 13

• 12x - 5

• 11x - 2

• -x

Tags

CCSS.6.EE.A.3

Simplify the following expression:

(5x² + 6 - 8x) - (4 + 2x - x²)

• x² - 4x - 9

• 6x² - 10x + 2

• 4x² - 6x + 2

• 6x² + 8x + 2

Tags

CCSS.HSA.APR.A.1

Simplify the following expression:

5x - 4x + 3x + 11x

• 11x²

• -15x

• 15x⁴

• 15x

Tags

CCSS.7.EE.A.1

Simplify the following expression:

4x + 3t - 2x- 4

• 2x + 3t - 4

• -2x + 3t - 4

• 4x + 7t

• 4x - t

Tags

CCSS.7.EE.A.1

Find the value of 3(5a-3) when a=1.

• 6

• -6

• 4

• 5

Tags

CCSS.6.EE.A.2C

Use the distributive property to create an equivalent expression for 4(3 + 2y).

• 12 + 6y

• 8y + 12

• 12 + 27

• 8y + 6

Tags

CCSS.6.EE.A.3

Which expression is equivalent to:
(3x⁵+ 8x³)−(7x²− 6x³)

• −4x³+14

• −4x⁵+14x³

• 3x⁵+14x³−7x²

Tags

CCSS.HSA.APR.A.1

What are the factors of the following expression:

x^2-12x+35

• (x-5)(x-7)

• (x+5)(x+7)

• (x-5)(x+7)

• (x+5)(x-7)