Download Algebra 1 Test 14 REVIEW Lessons 1-70

Algebra 1 Test 14 REVIEW Lessons 1-70
ALL work needs to be shown on a SEPARATE sheet of paper!
1. The bumper car ride at the state fair has 3 red cars, 4 green cars, and 2 blue cars. Joe is first in line for the ride
and is assigned a car at random. Bill is next in line and is randomly assigned a car. What is the probability that
both Joe and Bill will drive a red bumper car? Express your answer as a percent. If necessary, round your
answer to the nearest tenth.
2. Determine whether the events are independent or dependent.
Each player on the soccer team can choose a jersey from the team jersey set, and each jersey contains a
different two-digit number from 10 to 99. Chris chooses 32, and then Pat chooses 77.
3. A 20 cm cube is built from small cubes, each 2 cm on an edge. Write a ratio that compares the volumes of the
large and small cubes.
4. A stalk of corn casts a shadow of 156 inches, while a 6-inch ear of corn casts a shadow of 13 inches. Use
similar triangles to find the height of the stalk of corn.
5. In the figure, the height of the upper triangle is
and the height of the lower triangle is
length of the shared base is
units
units . The
units. The total area
of the figure is represented by
(
+
).
Simplify the expression.
6. Simplify
7. Tell whether the slope of the line is positive, negative, zero, or undefined.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
–2
–3
–4
–5
1
2
3
4
5
x
8. Jennifer is a piano salesperson. The table shows the salary that Jennifer earns for the number of pianos she
sells. Use the data to make a graph. Then, find the slope of the line and explain what it shows.
Number of Pianos
Sold
0
1
2
3
4
Monthly Salary
Earned
$1200
$1500
$1800
$2100
$2400
9. 39 is what percent of 80? If necessary, round your answer to the nearest tenth.
10. 170% of 54 equals
11. Simplify
12. Simplify
.
.
13. The price of a train ticket from Columbus to New York is normally $119.00. However, students under the age
of 16 receive a 40% discount. Find the sale price for someone under the age of 16.
14. Find the percent change from 320 to 592. Tell whether it is a percent increase or decrease. If necessary, round
your answer to the nearest percent.
15. Graph the inequality z  –2.8.
16. Graph the inequality x  4.
17. Write an equation in point-slope form for the line that has a slope of 6 and passes through the point (–8, –7).
18. Multiply.
(h + 7)(h – 3)
19. A builder uses parallelogram-shaped stones as decoration around a building’s windows. The stones come in
many different sizes. Each stone has a base length of x inches and a height of
inches. Write a
polynomial to describe the area of a stone. Then find the area of a stone that has a length of 6 units.
20. Find the product of
.
21. Multiply.
22. Multiply.
(r – 8)2
23. Simplify the expression
. All variables represent nonnegative numbers.
24. Lorelei raises parakeets in an aviary with a square floor. The floor has an area of
one side of the floor.
25. Solve
. Find the length of
by elimination.
26. Solve
by elimination.
27. At the local pet store, zebra fish cost $2.15 each and neon tetras cost $2.30 each. If Ernesto bought 13 fish for
a total cost of $28.55, not including tax, how many of each type of fish did he buy?
28. The frequency of a radio wave varies inversely as its wavelength. If a 100-meter wave has a frequency of
3,000 kilohertz, what is the wavelength of a wave that has a frequency of 500 kilohertz? Round your answer
to the nearest meter.
29. Let
30. Simplify
,
, and
. Let y vary inversely as x. Find
.
.
31. Solve
by substitution.
32. What is the equation of a line that passes through (2, –3) and (1, –8)?
33. Solve
.
34. Classify
35. Solve
. Give the number of solutions.
.
Algebra 1 Test 14 REVIEW Lessons 1-70
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Lesson 33: Finding the Probability of Independent and Dependent Events
Lesson 33: Finding the Probability of Independent and Dependent Events
Lesson 36: Writing and Solving Proportions
Lesson 36: Writing and Solving Proportions
Lesson 39: Using the Distributive Property to Simplify Rational Expressions
Lesson 39: Using the Distributive Property to Simplify Rational Expressions
Lesson 41: Finding Rates of Change and Slope
Lesson 41: Finding Rates of Change and Slope
Lesson 42: Solving Percent Problems
Lesson 42: Solving Percent Problems
Lesson 46: Simplifying Expressions with Square Roots and Higher-Order Roots
Lesson 46: Simplifying Expressions with Square Roots and Higher-Order Roots
Lesson 47: Solving Problems Involving the Percent of Change
Lesson 47: Solving Problems Involving the Percent of Change
Lesson 50: Graphing Inequalities
Lesson 50: Graphing Inequalities
Lesson 52: Determining the Equation of a Line Given Two Points
Lesson 58: Multiplying Polynomials
Lesson 58: Multiplying Polynomials
Lesson 58: Multiplying Polynomials
Lesson 60: Finding Special Products of Binomials
Lesson 60: Finding Special Products of Binomials
Lesson 61: Simplifying Radical Expressions
Lesson 61: Simplifying Radical Expressions
Lesson 63: Solving Systems of Linear Equations by Elimination
Lesson 63: Solving Systems of Linear Equations by Elimination
Lesson 63: Solving Systems of Linear Equations by Elimination
Lesson 64: Identifying, Writing, and Graphing Inverse Variation
Lesson 64: Identifying, Writing, and Graphing Inverse Variation
Lesson 51: Simplifying Rational Expressions with Like Denominators
Lesson 59: Solving Systems of Linear Equations by Substitution
Lesson 52: Determining the Equation of a Line Given Two Points
Lesson 67: Solving and Classifying Special Systems of Linear Equations
Lesson 67: Solving and Classifying Special Systems of Linear Equations
Lesson 67: Solving and Classifying Special Systems of Linear Equations