Chapter 1 Review

Properties & Distributive

100

What property is shown: a+b=b+a?

Commutative Property of Addition

200

Simplify: 3(x+4)

 (3x + 12)

300

What property is shown: (ab)c=a(bc)?

Associative Property of Multiplication

400

Simplify: 4(x–3)+2(x+5)?

(6x – 2)

500

Expand: 2(3x–4)–(5x–6)

(x – 2)

Order of Operations

100

Solve: 3+4×2

11

200

Solve: (3+4)×2

14

300

 Solve: 12÷3+2×5

14

400

Solve: (15–3^2)×2

12

500

Solve: (36÷(4×3))^2+2

11

Expressions (Algebraic ↔ Numerical)

100

Translate: “3 less than a number.”

x – 3 

200

Translate: “The square of a number decreased by 12.”

x^2-12

300

Write an algebraic expression for: The difference of twice a number and 7.

2x – 7

400

Write an algebraic expression for: The quotient of the sum of a number and 4, and 3.

((x + 4)/3)

500

Translate: “The product of a number and the sum of 4 and 6.”

(x(4+6)) or 10x

Evaluating Functions

100

If f(x)=2x, find f(3)

6

200

If f(x) = x^2 + 1, find f(4)

17

300

If f(x)=3x–5, find f(0)

-5

400

If f(x)=2x/(x+1), find f(2)

4/3

500

f(x)=∣x–3∣, find f(−2)

5

Functions or Not a Function

100

Is y=2x+1 a function?

Yes

200

Is x^2 + y^2 = 25 a linear function?  

No

300

Relation: {(1,2), (2,3), (3,4)} — function or not?

(Function)

400

Relation: {(2,3), (2,4), (3,5)} — function or not?

Not a function

500

Does the vertical line test pass for the graph of y=|x|?

Yes