Topic A (Expressions)
Topic B (Angles)
Topic C (Equations)
Topic D (Inequalities)
Proportional vs Non-Proportional
100
Distribute and then combine like-terms to simplify:
-(3x - 7) + 6x - 1
3x + 6
100
Describe the difference between complementary and supplementary angles.
Complementary angles are two angles with a sum of 90 degrees.
Supplementary angles are two angles with a sum of 180 degrees.
100
Solve for n
2(n + 6) = 18
n = 3
100
Write the solution set for the inequality:
-12 < 6x
-2 < x
or
x > -2
100
Proportional
200
Liam says that the expressions -1/3(7-a) and -7/3 - a/3 are equivalent. Vic disagrees. Who is correct? Explain.
Vic is correct. The expressions are not equivalent. When you distribute the first expression, it will create -7/3 + a/3.
200
Write an equation and solve for x.
x + x + 30 = 90 or
2x + 30 = 90
2x = 60
x = 30
200
At your local farmers market, it costs $10 to rent a stand, and $7 for every hour you stay there. If you paid a total of $38, how many hours did you stay at the farmers market?
Write and solve an equation.
x = 4
4 hours
200
Draw the symbols that would represent an open circle on an inequality graph.
Draw the symbols that would represent a closed circle on an inequality graph.
Open - < and >
Closed - < with line underneath and > with line underneath
200
Non-Proportional
300
Simplify the expression:
4(0.5x - 5y) - 8(0.75x - 2y)
-4x + -4y
300
Write an equation and solve for x. Round to the nearest tenth.
4x + 15 + 2x + 11 = 180
6x + 26 = 180
6x = 154
x = 25.7
300
Solve for x:
3/2 = x/42
x = 63
300
A ride in a taxi cab costs $2 per block and you want to give a $5 tip. If you have at most $19 to spend, how many blocks can you ride?
x less than or equal to 7. You can ride 7 blocks or less.
300
y = 3x - 4
Non-Proportional
400
Factor the expression: 5x - 15y + 40
5(x - 3y + 8)
400
Vertical angles are what?
Equal
400
Coach Fox is making some shirts to sell at the basketball games. He found a company that charges $30.00 for the design and charges $6.75 per shirt. Coach Fox chose this company and spent $327.00. How many shirts did he buy?
x = 44
44 shirts
400
Write an inequality, solve, and then graph for the following word problem:
Ian needs to save at least $85 for a new pair of basketball shoes. He has $25 in his piggy bank and saves $12 each week from his allowance. How many weeks will Ian need to save to earn at least $85?
12x + 25 > or equal to 85
x > or equal to 5
He needs to save for at least 5 weeks.
Graph should be on 5 with a closed circle pointing to the right.
400
Tell me if each table is proportional or non-proportional.
Table A - proportional
Table B - non-proportional
500
Simplify the expression:
1/3(3m + 6) - 2(3m + 6)
-5m - 10 or -5m + -10
500
Create an equation and solve for x.
5x + 10 = 105
5x = 95
x = 19
500
Solve for x:
4/5x - 3 = -7
x = -5
500
-19/5 < 3.2x + 12.2
x = -5
500
Write an equation for the table using n to represent the number of classes and c to represent the cost.
c = 15n