Coordinate Algebra
Maintenance Sheet #1
Name_____________________ Date_________
SHOW ALL YOUR WORK! ATTACH THE SCRATCH PAPER, IF NECESSARY.
The formula for the area of a triangle is:
The formula for the area of a rectangle is:
Rearrange the formula and solve for b.
Rearrange the formula and solve for h.
Your school is building a new computer center. Four
hundred square feet of the center will be available for
computer stations. Each station requires 20 square feet.
You want to find how many computer stations can be
placed in the new center. You write the equation 20𝑥 =
400 to model the situation. What do 20, x, and 400
represent? Solve the equation. Check your solution.
Matt and Ming are selling fruit for a school fundraiser.
Customers can buy small boxes of oranges and large boxes
of oranges. Matt sold 3 small boxes of oranges and 14 large
boxes of oranges for a total of $203. Ming sold 11 small
boxes of oranges and 11 large boxes of oranges for a total
of $220. Find the cost each of one small box of oranges and
one large box of oranges.
Mrs. Gates took her grandchildren to a baseball game,
with plans to spend no more than $34 on snacks. An
order of nachos costs $5 and a bag of peanuts costs
$3.
Select the inequality in standard form that describes
this situation. Use the given numbers and the
following variables.
x = the number of nacho orders
y = the number of bags of peanuts
The boys and girls soccer club are trying to raise
money for new uniforms. The boys soccer club is
selling candy bars for $2/piece and the girls soccer club
is selling candles for $4/piece. They must raise more
than $800.
Write an inequality to express the income from the two
fundraisers.
A.
B.
C.
D.
3x + 5y < 34
5x + 3y < 34
3x + 5y ≤ 34
5x + 3y ≤ 34
Which equation corresponds to the values in the table
below?
Input, x
Output, y
A.
B.
C.
D.
1
17
2
26
3
35
4
44
5
53
A. 
6
5
4
3
3
C.
4
B.
y = 8x + 9
y = 9x + 7
y = 9x + 8
y = 10x + 8
Simplify the expression: 3r
A. 13r
B. 19r
C. 5r
D. –19r
Find the slope of the line passing through the points A(–1, 1)
and B(4, –5).
5
6
Write and algebraic expression for the following:
D. 
7r
9r
5 less than quotient of w and 7.
Answer
Coordinate Algebra
Maintenance Sheet #1
Name_____________________ Date_________
SHOW ALL YOUR WORK! ATTACH THE SCRATCH PAPER, IF NECESSARY.
You are saving money to buy a new football that costs
Which of the following graphs is the graph of the function
$65. You have $40 saved. How much more money do you f(x) = 3x?
need to save? Use the verbal model to assign labels and
B.
A.
write an equation to represent the problem, then solve.
A. Amount saved = $40; Amount left to save = x, Cost =
$65;
; $25
B. Amount saved = x; Amount left to save = $65, Cost =
$40;
; $105
C. Amount saved = x; Amount left to save = $40, Cost =
$65;
; $25
D. Amount saved = $65; Amount left to save = x, Cost =
$40;
; $105
Brandon read 360 words in 12 minutes. How many words
could he read in one minute?
A. 30 words
B. 40 words
C. 42 words
D. 372 words
21. A grocery store sells 2 boxes of cereal for $4.95. Which
method can be used to find the total cost c of purchasing
n boxes of cereal?
A. Multiply n by the cost of one box.
B. Divide n by c.
C. Multiply n by c.
D. Divide n by the cost of one box.
C.
D.
Write and algebraic expression for the following:
9 less than 8 times of y
Describe the structure of the following expression:
2x2 – 5x + 6
Create an equation for the situation below (do not
solve). Underline key words and phrases that indicate
which operation will be used. DEFINE THE VARIABLE.
(For example, x = the number of hours worked)
Create an equation for the situation below (do not solve).
Underline key words and phrases that indicate which
operation will be used. DEFINE THE VARIABLE. (For
example, x = the number of hours worked)
Sarah wants to buy a video game that costs $54,
including tax. She already has $36 saved. She can save
$9 per week. How many weeks will she have to save to
have enough money to buy the video game?
A cab ride costs $5 for the first mile and $4 for each
additional mile. Kim’s cab ride cost $13. How many miles
was the ride?