Name: _________________________________ Date: _________ Period: ______
Final Exam Review
Toolboxes, Ch. 2, 3, and 4.1 – 4.4
Simplify.
(3x + 8)(x - 5)
29 – 3(-5 + 13) ÷ 6
-6(8y – 2) + 3(y – 14)
(10 – 7)4 – [3 + (5 – 1)2 ÷ 8]
-5a(23a - 42)
Simplify leaving your answer in radical
form.
6√80 ⦁ 3√5
√250
Sally rolled a six-sided die 24 times of
which a number three was rolled nine
time. What is the probability of Sally
rolling a nine?
Solve and graph.
-3(3 + x) ≥ 27
Solve.
5 + 2( x – 3) = 13
4(1 – 3x) – 14 = 4(2x + 3) - 7
-8 – 3x = 9(10 - x)
𝑥
3
=
8 28
1.35 1.8
=
𝑥
121
Determine which graph is a function.
Find the probability in the statement,
YOU CAN PASS THE FINAL
P(consonant)
P(t or s)
Find the mean, median, mode, and the
range for the attendance at school
volleyball games: 128, 241, 190, 130,
125, 180, 143, 292, 214
-8 + 4(x + 5) > 72
Evaluate.
x2 – x when x = -9
3y + z when y = -2 and z = -7
1 𝑥
Y = 72� � 𝑤ℎ𝑒𝑒 𝑥 = 8
2
Simplify.
(x + 4)(x - 3)
(2x - 8)(3x - 5)
Find the measure of the
missing side,
round to the tenth.
Find the area.
Graph.
y = -5x – 1
12 yd
7 yd
9 yd
27 yd
How far is the sailboat from the
lighthouse, round to the tenth?
-2x + 3y = -6
Find the surface area and volume of each figure.
Determine if the side lengths of a triangle create a right triangle.
5, 12, and 13
9, 24, and 26
Find the unknown angle measure(s).
∠𝐽𝐽𝐽 = 35°; ∠𝑃𝑃𝑃 = 𝑥 + 40
300
𝑥 = ______
Write the domain and the range of the graph above. Be sure to write
your answers as inequalities.
Write an equation for the line through (-2, 8) and (-4, 2).
Given the equation y = x + 1
a) State the slope and y-intercept.
b) Graph the line. (accurately)
Given the equation 6x – 2y = 8
a) State the slope and y-intercept.
b) Graph the line. (accurately)
x
.
12
Find the value of x when y = 6. Then find the value of y when x = 144
Use the inverse variation equation y =
Vanessa blew a perfectly round bubble which measured a diameter of 8 cm. Answer in terms of
π. How much air is inside? (volume)
How much gum did it take to make the bubble? (surface
area)
Find the radius of a sphere with the surface area of 256πcm2.
William works at Carson Valley Hardware. His earnings vary directly with the number of hours he
works. He is paid $11.00 an hour. Write an equation to model William’s earnings. If William
works 16 hours this week, how much will he earn?
The distance(in feet) an object falls varies directly with the square of the time(in seconds) that its
been falling. The variation constant is 16. Write an equation to represent the situation. If you
stand at the edge of a 144 ft tall tower and drop a rock over the edge, how long will it take for
the rock to hit the ground?
Simplify.
( x )(8d )
0
−5
Find each value.
9c −4
3a 0b −1
Rewrite the expression
fractional exponents.
53 9h 2 k
( −3)
using
2
3−2
−32
3
1
2
Rewrite the expression 12x1/2 in radical form.
A few more things:
•
For Chapter 4, sections 4.1 to 4.4,
o Use you quiz review for 4.1 to 4.3.

Finding the vertex, LOS, y-intercept and x-intercepts from either
Standard Form or Vertex Form.
o Your notes from 4.4 and Practice 29 #1-24 on how to factor (reverse FOIL)
and expand (FOIL).
•
You are allowed to use a cheat sheet.
o One sheet of 8 ½ x 11, one side of it and no sharing with others.
o You can put what you feel is going to help you on the final exam. You will be
turning it too.
•
The final will not be multiple choice.
o It will cover everything we have covered this semester.
•
The best way to study for math…
is to do the problems over again and create your cheat sheet as you do the problems
again.