Quiz about Algebra Leap Review

Question 1

Solve the compound inequality: $$-31<9x+5<32$$

Accepted Answer

$$-4<x<3$$

Answer

$$x>-4\ or\ x<3$$

Answer

$$-36<9x<-27$$

Answer

$$\frac{-26}{9}

Question 2

A mom is going to the movies with her three kids and wants to stay within her budget of $50. She must buy 4 movie tickets that cost $6 each. If popcorn costs $8 per bucket, how many buckets of popcorn can she buy?

Which inequality best represents this problem?

Accepted Answer

$$4\left(6\right)+8x\le50$$

Answer

$$6x+8x+4\le50$$

Answer

$$3\left(8\right)+4x\le50$$

Answer

$$4\left(8\right)+6x\le50$$

Question 3

Question 3.

Accepted Answer

$$g\left(x\right)=-\left(x+2\right)^2+1$$

Answer

$$g\left(x\right)=\left(x-2\right)^2-1$$

Answer

$$g\left(x\right)=\left(x+2\right)^2-1$$

Answer

$$g\left(x\right)=-\left(x-2\right)^2+1$$

Question 4

Find the product:
(5n-8)(5n+8)

Accepted Answer

25n2-64

Answer

10n2

Answer

5n2+16

Answer

16

Question 5

Simplify:
(3x - 5) ( 4x² - 2x - 3)

Accepted Answer

12x³ - 26x² + x + 15

Answer

12x³ - 26x² - 25x + 15

Answer

12x³ - 20x² - 5x + 15

Answer

12x³ - 20x² - 6x + 15

Question 6

What is the degree of this polynomial?

Accepted Answer

5

Answer

-3

Answer

2

Answer

4

Question 7

Simplify the following expression:
-10x + 15 - 3x + 2

Accepted Answer

-13x + 17

Answer

13x2 + 17

Answer

-13x² + 13

Answer

-7x + 17

Question 8

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

Accepted Answer

-2x² + 11x -4

Answer

2x²+ 3x +1

Answer

-2x²- 11x -4

Answer

2x² + 5x -7

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