Algebra Practice 1

You have 12 coins (dimes and quarters).  Their value is $2.25.  Write the system of equations that can represent this situation.

• x - y = 12
  .10x + .25y = 2.25
• 10x + 25y = 2.25
   x + y = 12
• x + y = 2.25
   x + y = 12
• x + y = 12
  .10x + .25y = 2.25

Tags

CCSS.8.EE.C.8C

You have four times as many pencils as your tablemate. If you have p pencils, how many does your tablemate have?

• 4p
• p + 4
• p ÷ 4
• p - 4

Tags

CCSS.6.EE.B.6

Sue is three times older than Mark.  Jack is 4 years older than Mark.  Their total age is 54.  How old is Mark?

• 10
• 14
• 30
• 24

Tags

CCSS.8.EE.C.7B

Your cell phone costs a fixed $40 per month and an additional $3 per minute.  Write an expression to represent your total cell phone bill if you have used m minutes.

• 40 + m + 3
• 40m + 3
• 40 + 3m
• 3m - 40

Tags

CCSS.HSA-SSE.A.1A

Simplify a³(ab²)^-2

• a³a^-2b^-4
• a/b⁴
• a⁴b⁰
• a⁴b^-4

Simplify (x+3)/4 + (4x - 5)/7 
Hint:  Think Common Denominator (and Distributive Property)

• (23x + 1)/28
• (5x - 2)/11
• (19x + 1)
• (23x + 41)/28

Tags

CCSS.HSA.APR.D.7

If x² + y² = 3 and xy = -5 what is the value of (x-y)²?
Hint:  First expand (x-y)² by using FOIL.  Then rearrange and substitute.

• -4
• 13
• -2
• -7

Tags

CCSS.8.EE.C.7B

Simplify (x²/y) ÷ (x/y³)

• x³/y⁴
• xy/x²y³
• x²/y³
• xy²

Tags

CCSS.HSA.APR.D.7

Simplify (4x³ + 12x² + 8x) ÷ (2x + 4)
Hint:  Use FOIL with (2x + 4) and your answer choices.

• (2x - 2)
• (2x² + 2)
• (2x² + 2x)
• (2x² - 2x)

Tags

CCSS.HSA.APR.D.6

Solve the equation (x-4)/3 - x/4 = 3.
Hint: Find a common denominator and zoom in on the top.

• 19
• 20
• 52
• 54

Tags

CCSS.8.EE.C.7B