Core topics
Integers & Operations:
Evaluate: −6+14−9
-1
Area & Perimeter:
Find the area of a rectangle with length 9 cm and width 5 cm.
45 cm2
Graphing Linear Functions: What is the slope of the line through points (2, 5) and (5, 14)
Hint: Slope = M = y2 - y1 / x2 - x1
9 / 3 = 3
Word Problems: If Jenna buys 3 notebooks at $2.50 each and pays with a $10 bill, how much change should she get?
Jenna should get $2.50 in change.
Fractions & Decimals:
Convert to a decimal and simplify: 7/8
0.875
Volume & Surface Area:
Find the volume of a rectangular prism with dimensions 4 cm by 3 cm by 6 cm.
72 cm3
Function Notation:
Function Notation: If f(x)=3x2−2x+1 find f(2).
Hint: Plug in 2 for x
25
Multi-Step Problems:
A jacket marked $80 is on sale for 25% off, then sales tax of 6% is applied to the discounted price. What is the final price?
The final price is $63.60
Percentages:
What is 15% of 240?
36
Pythagorean Theorem:
Find the missing side: a right triangle has legs 8 and 15. Find the hypotenuse.
Hint: a2 + b2 = c2
120
Slope & Rate of Change: A cyclist travels 6 miles in 15 minutes; what is the speed in miles per hour?
24 mph
Mystery Math:
Find a number such that when multiplied by -4 and then 9 is added, the result is 1. (Write an equation and solve)
−4x+9=1
−4x=1−9
−4x=−8
x=−8/ −4
x=2
Multiplying Two Digit numbers:
Simplify: 81×23
1,863
Angle Relationships:
Two angles are supplementary. If one angle is 3x+10 and the other is 5x−8, find x.
9
Write this in factored form: x2+7x+12
(x+3)(x+4)
Polynomials / Factoring: Factor completely: x2−5x+6
(x−2)(x−3)
Algebraic Expressions:
Simplify by combining like terms: 4x−7+2x+3
6x-4
riangle ABC has vertices at A(1, 2), B(4, 2), and C(3, 5). The triangle is reflected over the y-axis to create triangle A'B'C'.
What are the coordinates of vertex A'?
A' is at (-1, 2)
Systems of Equations (graphing/algebra):
Solve the system: y=2x+1 and 3x−y=8.
Since Equation 1 already has y isolated, substitute it into Equation 2:
3x−(2x+1)=8
3x−2x−1=8
x−1=8
x=9
(x,y)=(9,19)
A movie theater sells popcorn in two sizes. A small popcorn costs $5 and a large popcorn costs $8. During one showing, the theater sold a total of 120 popcorns and made $840 in popcorn sales.
How many large popcorns were sold?
80 large popcorns