8th Grade GMAS

Unit 1: Linear Equations/Functions/ Inequalities

3

Simplify the following expression: 

9a + 4b - 5c - 1 - 3a + 4b + 5c

6a + 8b -1

6

Graph this equation: 

y =2/3x + 4

(Check with Ms. Jackson)

9

Solve this equation:

2(x + 7) + 3x = 12

x=-2/5

12

Which function describes the arithmetic sequence shown?

7, 9, 11, 13, 15, 17, ... 

A: f(x) = 2x - 5

B: f(x) = 5x - 2

C: f(x) = 2x + 5

D: f(x) = 5x + 2

C

15

In the equation, what is the value of x? 

1/4(x + 4x) + 12 = 1/2(2 - x) + 10

- 4/7

Unit 2: System of Equations + Inequalities

3

In a graph of a linear inequality, what does a dashed line mean?

What is the line is not included in the solution?

6

DOUBLE JEOPARDY!!!

Solve the following system of equations using elimination:

x + y = 10

x - y = 12

(11, -1)

9

Solve the system of equations:

2x - 4y = 6

4x + 4y = 10

(8/3,−1/6)

12

Solve the following system of equation using substitution:

3x - 2y = - 2

x + 3y = 14

x = 2, y = 4

15

You graph the inequality 2x - y > 4. What direction do you shade, and do you use a solid or dashed line?

What is shade below the dashed line?
(Note: Rearranged as y < 2x - 4, so it’s a dashed line and shaded below.)

Unit 3: Square Roots, Exponents, Scientific Notation

3

NO CALCULATOR:

Estimate what whole numbers the square root is between.

Square Root of 200

14 and 15

6

Is the square root of 2 rational or irrational?

irrational. approximately: 1.414213...

9

DOUBLE JEOPARDY!!!

Simplify using the properties of exponents:

6¹⁴ / 6¹²

6² or 36

12

What is the value of (3²)⁴ and what rule of exponents do you use?

3⁸ Power of Power Rule

15

Multiply and answer in scientific notation:

(3×10⁸)(6.8×10^-13)

2.04×10^-4

Unit 4: Quadratics!

3

Given the Quadratic Function: y = -x² + 6x - 7, what is the direction of the parabola and what is the y - intercept?

Down -7

6

Convert to standard form:

f(x) = (x - 4)(-3x + 3)

f(x)=−3x²+15x−12

9

Evaluate:

f(x) = (x+3)² - 2x² ; x = -12

-207

12

Identify the vertex of the parabola:

f(x) = -4(x + 1)² + 8

(-1, 8)

15

What are the zeros of this equation:

x² - 5x - 14 = 0

7 and - 2

Unit 4 and Unit 5: More Quadratics and Exponential Functions

3

f(x) = 3^x+1 ; Find f(1)

9

6

Consider the function f(x) = 7,000(14)^x/10 which models a long term investment made by Joshua las year. What does the 14 represent in the function?

A: interest rate

B: growth factor

C: initial deposit

D: number of years

B

9

Solve the equation

5^3x-2=125

5/3

12

DOUBLE JEOPARDY!!!

Find the average rate of change of the function over the interval [-7, -5]

f(x) = 3x² - 3x - 4

-39

15

Find f(g(4)) 

f(x) = 2^x and g(x) = 3x + 1

(Composite Functions)

8192