1.9: Chapter 1 Review
Difficulty Level: At Grade
Created by: CK12
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Define the following words:
 Domain
 Range
 Solution
 Evaluate
 Substitute
 Operation
 Variable
 Algebraic expression
 Equation
 Algebraic inequality
 Function
 Independent variable
Evaluate the following expressions.

\begin{align*}3y (7  (z  y))\end{align*}
3y(7−(z−y)) ; use \begin{align*}y = 7\end{align*}y=−7 and \begin{align*}z = 2\end{align*}z=2 
\begin{align*}\frac{m + 3n  p}{4}\end{align*}
m+3n−p4 ; use \begin{align*}m = 9, \ n = 7,\end{align*}m=9, n=7, and \begin{align*}p = 2\end{align*}p=2 
\begin{align*}p  \left (\frac{n}{2} \right )^3\end{align*}
p−(n2)3 ; use \begin{align*}n = 2\end{align*}n=2 and \begin{align*}p = 3\end{align*}p=3 
\begin{align*}v21, \ v=70\end{align*}
v−21, v=−70
Choose an appropriate variable to describe the situation.
 The number of candies you can eat in a day
 The number of tomatoes a plant can grow
 The number of cats at a humane society
 The amount of snow on the ground
 The number of water skiers on a lake
 The number of geese migrating south
 The number of people at a trade show
The surface area of a sphere is found by the formula \begin{align*}A = 4 \pi r^2\end{align*}

\begin{align*}radius=10 \ inches\end{align*}
radius=10 inches 
\begin{align*}radius=2.4 \ cm\end{align*}
radius=2.4 cm 
\begin{align*}diameter=19 \ meters\end{align*}
diameter=19 meters 
\begin{align*}radius=0.98 \ mm\end{align*}
radius=0.98 mm 
\begin{align*}diameter=5.5 \ inches\end{align*}
diameter=5.5 inches
Insert parentheses to make a true equation.

\begin{align*}1 + 2 \cdot 3 + 4 = 15\end{align*}
1+2⋅3+4=15 
\begin{align*}5 \cdot 3  2 + 6 = 35\end{align*}
5⋅3−2+6=35 
\begin{align*}3 + 1 \cdot 7  2^2 \cdot 9  7 = 24\end{align*}
3+1⋅7−22⋅9−7=24 
\begin{align*}4 + 6 \cdot 2 \cdot 5  3 = 40\end{align*}
4+6⋅2⋅5−3=40 
\begin{align*}3^2 + 2 \cdot 7  4 = 33\end{align*}
32+2⋅7−4=33
Translate the following into an algebraic equation or inequality.
 Thirtyseven more than a number is 612.
 The product of \begin{align*}u\end{align*}
u and –7 equals 343.  The quotient of \begin{align*}k\end{align*}
k and 18  Eleven less than a number is 43.
 A number divided by –9 is –78.
 The difference between 8 and \begin{align*}h\end{align*}
h is 25.  The product of 8, –2, and \begin{align*}r\end{align*}
r  Four plus \begin{align*}m\end{align*}
m is less than or equal to 19.  Six is less than \begin{align*}c\end{align*}
c .  Fortytwo less than \begin{align*}y\end{align*}
y is greater than 57.
Write the pattern shown in the table with words and with an algebraic equation.

\begin{align*}&\text{Movies watched} && 0 && 1 && 2 && 3 && 4 && 5\\
&\text{Total time} && 0 && 1.5 && 3 && 4.5 && 6 && 7.5\end{align*}
Movies watchedTotal time0011.52334.54657.5  A case of donuts is sold by the halfdozen. Suppose 168 people purchase cases of donuts. How many individual donuts have been sold?
 Write an inequality to represent the situation: Peter’s Lawn Mowing Service charges $10 per mowing job and $35 per landscaping job. Peter earns at least $8,600 each summer.
Check that the given number is a solution to the given equation or inequality.

\begin{align*}t=0.9, \ 54 \le 7(9t+5)\end{align*}
t=0.9, 54≤7(9t+5) 
\begin{align*}f=2; \ f+2+5f = 14\end{align*}
f=2; f+2+5f=14 
\begin{align*}p=6; \ 4p5p \le 5\end{align*}
p=−6; 4p−5p≤5  Logan has a cell phone service that charges $18 dollars per month and $0.05 per text message. Represent Logan’s monthly cost as a function of the number of texts he sends per month.
 An online video club charges $14.99 per month. Represent the total cost of the video club as a function of the number of months that someone has been a member.
 What is the domain and range for the following graph?
 Henry invested $5,100 in a vending machine service. Each machine pays him $128. How many machines does Henry need to install to break even?
 Is the following relation a function?
Solve the following questions using the 4step problemsolving plan.
 Together, the Raccoons and the Pelicans won 38 games. If the Raccoons won 13 games, how many games did the Pelicans win?
 Elmville has 250 fewer people than Maplewood. Elmville has 900 people. How many people live in Maplewood?
 The cell phone Bonus Plan gives you 4 times as many minutes as the Basic Plan. The Bonus Plan gives you a total of 1200 minutes. How many minutes does the Basic Plan give?
 Margarite exercised for 24 minutes each day for a week. How many total minutes did Margarite exercise?
 The downtown theater costs $1.50 less than the mall theater. Each ticket at the downtown theater costs $8. How much do tickets at the mall theater cost?
 Mega Tape has 75 more feet of tape than everyday tape. A roll of Mega Tape has 225 feet of tape. How many feet does everyday tape have?
 In bowling DeWayne got 3.5 times as many strikes as Junior. If DeWayne got 28 strikes, how many strikes did Junior get?
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Date Created:
Feb 22, 2012
Last Modified:
Sep 07, 2016
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