Algebra 1 Fall Final Exam Review

Let g(x) - 3x+5. What is the value of g(5)?

• 3

• -10

• 5

• 20

Answer explanation

Everywhere you see an x in the original problem, you should substitute a 5 and evaluate.

Tags

CCSS.HSF.IF.A.2

Given a function: (8,10), (3,-4), (0,8), (4,-3), (9,0)

The y-intercept is (9,0)

• True

• False

Answer explanation

The y-intercept is the point where the x value is 0.

In this case,the y-intercept will be (0,8)

remember: f(1) = 2 means (1,2)

The graph of y=f(x) passes through the points (-3,-1), (3,5), and (5,21). What is the value of y in the equation f(3) = 5?

• 3

• 5

• 21

• -1

Answer explanation

The graph of y=f(x) passes through the points (-3,-1), (3,5), and (5,21). What is the value of y in the equation f(3) = 5?

f(x) = y

f(#) = y

f(3) = y

...

find the y value for the point where your x value is 3.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the domain of the graph shown?

• x = {-2, 2, 4}

• y={-3, 0, 4}

Answer explanation

Domain: all the possible x-values from least to greatest (move from left to right)

Range: all the possible y-values from least to greatest (move from bottom to top).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the graph?

Answer explanation

Range is all the possible y values:

closed circle: less than or equal to

open circle: less than

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the y intercept of the equation

4x+5y=20

• -4

• 4

• -5

• 5

Answer explanation

Graph 4x+5y=20 in desmos.

Look where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Combine like terms: 2x+5y+6x+9y

• 7x+15y

• 11x+11y

• 8x+14y

• 8x-14y

Answer explanation

Example:

Tags

CCSS.7.EE.A.1

Solve for x given:

3x - 10 = 11

• -7

• -7

Answer explanation

Reverse PEMDAS to isolate x:

3x - 10 = 11

Do the opposite of any addition or subtraction you see.

Then do the opposite of any multiplication or division that you see.

Tags

CCSS.7.EE.B.4A

Solve the equation:

4x - 5 + 3x = 30

• 12

• 5

• 4

• 15

Answer explanation

Use reverse PEMDAS to solve. Or choose an answer choice to plug in for x, and see if that choice makes the left side of the equation equal the right side of the equation.

Sample problem worked using reverse PEMDAS:

Tags

CCSS.8.EE.C.7B

What is the equation of the line shown?

Answer explanation

y=mx+b

m is the slope (pick 2 points, rise over run)

b is the y intercept

or... graph in desmos and see which one matches.