Algebra 1 – Midterm Review

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Name _____________________________________________________________
Block ____________________
Algebra 1 – Midterm Review
MULTIPLE CHOICE
Write the letter for the correct answer at the left of each question.
__________ 1. Solve:
A. 8
B.
__________ 2. Solve:
A. 43
B.
C.
D.
C.
D. 42
__________ 3. Solve the compound inequality and graph the solution set.
A.
B.
C.
D.
__________ 4. Write the slope-intercept form of an equation of the line that passes through
the given point and is parallel to the graph of the equation.
A.
C.
B.
D.
__________ 5. Interpret the
intercept of the graph.
A. The initial temperature was
°C.
B. After 1 hour the temperature was 0°C.
C. 5 minutes before the temperature was
°C.
D. 5 minutes before the temperature was 0°C.
__________ 6. Use substitution to solve the system of equations.
A.
B.
C.
D.
__________ 7. Write the point-slope form of an equation for a line that passes through the
point with the given slope.
A.
B.
C.
D.
__________ 8. Write a direct variation equation that relates the variables. Then graph the
equation.
Movie tickets cost $7.50 each. The total cost of t tickets is C.
A.
C.
B.
D.
__________ 9. Write a verbal expression for the algebraic expression.
A.
B.
C.
D.
__________ 10. The table below shows the yearly sales of a CD player in a particular store.
Find an equation in function notation for the relation.
A.
C.
B.
D.
__________ 11. Solve:
A.
B.
__________ 12. Find the
A.
B.
__________ 13. Solve:
A.
B. 1
C.
D.
and
intercepts for
.
C.
D.
C.
D.
__________ 14. Solve:
A.
C.
B.
D.
__________ 15. Use elimination to solve the systems of equations.
A.
B.
C.
D.
__________ 16. If
find
A.
C.
B.
D.
__________ 17. Find the next three terms of the arithmetic sequence.
A.
B.
C.
D.
__________ 18. Which inequality is graphed?
A.
B.
C.
D.
__________ 19. Mr. Collins is constructing a fence around his property. He already has 35
sections up and plans to add 7 sections each Saturday until he is finished.
Write an equation to find the total number of fence sections standing after
any number of Saturdays .
A.
C.
B.
D.
__________ 20. Simplify the expression.
A.
B.
C.
D.
SHORT ANSWER
Solve each of the following short answer problems. Make sure to
circle key information and write a sentence. Show ALL your
work!
21.
Solve the compound inequality and graph the solution set.
22.
Solve the equation and then check your solution.
Check:
23.
Express the relation as a graph and a table. Then determine the domain and range.
Domain:
Range:
24.
Rachel bought 15 packs of colored pencils with four pencils in each pack. She also
bought 32 packs of glitter pencils with two pencils in each pack. Write and evaluate
an expression to find the total number of pencils she bought.
25.
Suppose varies directly as . Write a direct variation equation that relates
Then solve.
26.
Graph the systems of equations. Then determine whether the system has no
solution, one solution, or infinitely many solutions. If the system has one solution,
name it.
Solution: _____________________________________
and .
27.
Find the final price of the item.
CD player: $39.95
Discount: 10%
Tax:
7%
28.
The monthly telephone bill consists of a $14 service charge plus $1.50 per call.
Write an equation in slope-intercept form for the total monthly bill if represents
the number of calls made in a month. Then graph the solution.
Equation: ____________________________________
OPEN-ENDED
29.
Solve each of the following essay problems. Make sure to
circle key information and write a sentence. Show ALL your
work!
The total height of a building, and the antenna tower on top of it, , is 425 feet.
The difference in heights of the building and the antenna tower is 324 feet. The
following system of equations represents the situation.
a. Solve the system of equations using elimination. Explain your process in your
own words.
b. What is the height of the antenna tower?
30.
A manufacturer makes both volleyballs and basketballs. Each volleyball requires 2
minutes on the forming machine, and each basketball requires 1 minute. Each
volleyball requires 1 minute on the inflating machine, and each basketball requires
1.5 minutes. If the forming machine runs for 40 minutes and the inflating machine
runs for 25 minutes, the following system of equations can be used to determine the
number of volleyballs and basketballs produced.
a. Explain how the system of equations can be used to plan the machine running
time.
b. Solve the system by elimination OR substitution. Explain your process in your
own words.
31.
Use the following table showing the state graduation scores to answer the questions
below.
Verbal Score
460
424
410
420
Math Score
488
466
463
460
a. Make a scatter plot relating the verbal scores and the math scores.
b. Does the scatter plot show a positive, negative, or no correlation? If the
correlation is positive or negative, explain the relationship in a sentence.
c. Using your calculator, write the equation for the best-fit line.
d. Using the equation in part c, predict the corresponding math score for a verbal
score of 445.
32.
Use the following scatterplot to answer each part below.
a. Draw a scatterplot with years on the
axis and earnings on the
b. Draw a line of fit for the data.
c. Write the slope-intercept form of an equation for the line of fit.
d. Predict the hourly earnings for production workers in 2005.
axis.
VOCABULARY
Make sure to review the definitions of the following terms for
your exam.
Absolute value
Boundary
Coefficient
Consistent
Inconsistent
Direct variation equation
Intersection
Union
Linear regression
Linear extrapolation
Point-slope form
Slope-intercept form
Standard form
Slope
Vertical Line test
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