Benchmark Review

Unit 1: Building Blocks of Algebra

100

Simplify the following using the Distributive Property:

8(5x - 3)

40x - 24

200

What is the following expression equal to when evaluated for x = -4?

x² - 5

11

300

Write the following expression as a binomial in simplest form

5(2x + 3) + 2(4x - 5)

18x + 5

400

If n represents a number, write an expression for one-third of the number decreased by 7.

1/3n - 7

500

Which real number property justifies the equivalence:

(5x)(5x) = (5)(5)(x)(x)

The Commutative Property of Multiplication

Unit 2:Linear Equations

100

Solve for x:

3(x + 5) - 2 = -8

_{x = -7}

200

Solve for x: 

4x + 5 = 3(x - 1) + 11

x = 3

300

What type of solution(s) does the following equation have?

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

Infinite Solutions

400

When the sum of a number, n, and 6 is divided by 4 the result is equal to 5. Set up and solve an equation to find the value of n.

n = 14

500

Solve the following equation for the variable x in terms of y and z:

3y = z + 4x

x = (3y - z) / 4

Unit 3:Linear Inequalities

100

Write the interval -6 < x <= 9 using interval notation

(-6, 9]

200

Overall, is the following inequality true or false?

-6 < 0   and   8 > 12

False

300

Is the value a = -3 a solution to the inequality?

2a + 1 < 2

True = Solution

400

Solve the following inequality:

-4x + 3 < 11

x > -2

500

A number is tripled and then decreased by 5. The final result is at most 18. If n represents the number, model this statement using an inequality.

3n - 5 <= 18

Unit 4:Functions

100

What do we call the highest point on a graph?

Absolute Maximum

200

Could the following set of coordinate points be classified as a function?

{(0,3), (1, 5), (3, 7), (1, 9), (5, 11)}

Not a Function

300

How can the following statement be written as a coordinate point?

f(4) = -7

(4, -7)

400

If f(x) = -2x² + 3, then find f(-3).

-15

500

If f(x) = x² - 2x - 11, then which value of x solves f(x) = 4?

x = 5

Unit 5:Funny Friday

100

What do you call a witch at the beach?

A sand-witch

200

What did the British boy's mother dress up as for Halloween?

A mummy

300

Why couldn't the pony sing a song?

It was a little horse

400

Why does Snoop Dogg need an umbrella

Fo' Drizzle

500

Why did the scarecrow win the Nobel Prize?

Because he was outstanding in his field