Algebra Foundations

Order of Operations & Evaluating

100

Evaluate x²-5 when x=-4.

11

200

Evaluate 3a-2b when a=5 and b=-2.

19

300

Evaluate (x+y)²-z when x=-2, y=6, and z=10

6

400

Evaluate (2a²+b)/(a-b) when a=-3 and b=2.

-4

500

Simplify using order of operations: 4²-2(3+5*2).

-10

Properties of Real Numbers

100

Name the property that states a+b=b+a.

Commutative Property

200

Name the property that justifies 5(x+3)=5x+15.

Distributive Property

300

Name the property that states (2*3)*4=2*(3*4).

Associative Property

400

Identify the property that justifies moving from 4x+7=19 to 4x=12.

Subtraction property of equality

500

Identify the property shown by x+0=x and x*1=x.

Identity Property

Distributive & Like Terms

100

Combine like terms: 4x+7y-2x+3y.

2x+10y

200

Expand and simplify: -3(2x-5).

-6x+15

300

Simplify fully: 5(x-2)-3(x+4).

2x-22

400

Write a simplified expression for the perimeter of a rectangle with length (3x+1) and width (x+4).

8x+10

500

Simplify completely: 4-2(3x-1)+5x.

-x+6 or 6-x

Translating Expressions

100

Translate: "8 more than a number n".

n+8 or 8+n

200

Translate: "The product of 5 and a number x, decreased by 3".

5x-3

300

Translate: "7 less than twice a number k".

2k-7

400

Translate into an equation: "Four times the difference of a number y and 2 is equal to 20".

4(y-2)=20

500

A student ticket costs $5 less than an adult ticket a. Write a simplified expression for the total cost of 3 adult tickets and 4 student tickets.

3a+4(a-5)= 7a-20

Solving Equations

100

Solve for x: x-9=-14.

x=-5

200

Solve for x: x/(-4)=6.

x=-24

300

Solve for x: 3x+8=-7.

x=-5

400

Solve for x: 12-5x=32.

x=-4

500

Solve for x: (2/5)x-3=7.

x=25