Agebra Practice

Quiz #2
1.	When John attempts a free throw, he succeeds 59.4% of the time.  If John attempts 31 free throws, estimate how many times he will succeed.
	a)	15
	b)	18
	c)	28
	d)	52
2.	Solve:  2x - 37 = 25
	a)	-6
	b)	21
	c)	31
	d)	60
3.	As shown in the table below, the cost of renting a car depends on the number of miles driven.  If a rental car is driven 60 miles, which of these is the cost?
		Miles	Cost
		10	$52.50
		20	$55.00
		30	$57.50
		40	$60.00
		50	$62.50
	a)	$62.75
	b)	$64.00
	c)	$65.00
	d)	$67.50
4.	What is the value of the expression 3(x + 7)  when x = -2 ?
	a)	-27
	b)	1
	c)	12
	d)	15
5.	Marian rented a ballroom for the spring dance.  She paid a flat fee of $750.00, plus $125.00 for each hour (h) the ballroom was used.  Which statement represents the total cost (c) of renting the ballroom?
	a)	c = 125h
	b)	c = 750h
	c)	c = 750 + 125h
	d)	c = 750h + 125
6.	Solve:  3(2x + 1) - 4x = -7
	a)	-5
	b)	-4
	c)	-2
	d)	-1
7.	What is the slope of the line in the graph?
	a)	-4
	b)	-3
	c)	3
	d)	4
8.	Solve:  4(x - 2) - 1 = 3x - 7
	a)	-16
	b)	-4
	c)	2
	d)	16
9.	Solve:  3(x - 2) = -6 - 2(x + 10)
	a)	-4
	b)	-8/5
	c)	2
	d)	20
10.	The best estimate for the coordinate of point P is:
	a)	2 1/2
	b)	2 1/4
	c)	2 3/4
	d)	2.1
11.	A sweet pea vine grows 40 centimeters per month.  It was 20 centimeters tall on April 15.  On what date will it most likely be 80 centimeters tall?
	a)	May 15
	b)	June 1
	c)	June 15
	d)	July 1
12.	One lunch period, popcorn sold at a rate of 5 bags every 3 minutes.  The lunch period lasted 45 minutes.  How many bags of popcorn were sold?
	a)	27
	b)	53
	c)	75
	d)	225
13.	The numbers of elk a ranger saw on 5 days are 12, 11, 8, 14, and 25.  What is the mean number of elk the ranger saw per day?
	a)	8
	b)	12
	c)	14
	d)	17
14.	One day the students in a gardening club counted the number of ladybugs they  saw in their garden plots.  The number of ladybugs found in each plot was as follows:  1, 2, 7, 0, 6, 4, 5, 2, 2, 11.    What is the median number of ladybugs counted?
	a)	2
	b)	3
	c)	4
	d)	5
15.	What is the opposite of 5/3?
	a)	-3/5
	b)	-5/3
	c)	3/5
	d)	-1
16.	Which of these sets of numbers is ordered from least to greatest?
	a)	-3/2, -3, 0, 2/3
	b)	-3, -3/2, 0, 2/3
	c)	0, 2/3, -3/2, -3
	d)	0, -3/2, -3, 2/3
17.	What is the reciprocal of -110?
	a)	-55
	b)	-1/110
	c)	1/110
	d)	110
18.	Which of these is the best estimate of the coordinate of Point R on the number line?
	a)	-7/8
	b)	-1/2
	c)	-5/8
	d)	1/4
19.	Which of these graphs represents  y = -2x + 3 ?
	a)	graph F
	b)	graph G
	c)	graph H
	d)	graph J
20.	Mary grew a sweet pea plant from a seed.  Every week she measured the plant.  The plant sprouted in Week 3 and then grew 1.5 inches every week.  Which of these graphs best represents the height of the plant?
	a)	graph A
	b)	graph B
	c)	graph C
	d)	graph D

Algebra Quiz

Algebra Quiz
1.	On a history test, 20 students received an A and 12 students received a B.  Which of these is the correct ratio of students receiving an A to students receiving a B?
	a)	3 to 2
	b)	4 to 3
	c)	5 to 3
	d)	5 to 4
2.	The statement "ten more than seven times a number x" is represented by which of these expressions?
	a)	7 + 10x
	b)	10 + 7x
	c)	7(10 + x)
	d)	10(7 + x)
3.	The zoo's herd of zebras has 44 female zebras and 36 male zebras.  Which of these is the correct ratio of females to the total number of zebras?
	a)	9 to 11
	b)	9 to 20
	c)	11 to 9
	d)	11 to 20
4.	Which of these lists the correct order of operations to simplify the following expression:  2(3 + 4) - 6/3 ?
	a)	add, multiply, divide, subtract
	b)	add, multiply, subtract, divide
	c)	add, subtract, multiply, divide
	d)	multiply, add, subtract, divide
5.	The members of the gardening club are planting 40 tomato plants.  Each plant requires 2 stakes.  Stakes come in packages of 15.  How many packages of stakes will the club need to buy?
	a)	3
	b)	4
	c)	5
	d)	6
6.	What is the next number in the sequence:  1, 4, 9, 16, 25, __ ?
	a)	35
	b)	36
	c)	41
	d)	50
7.	The point representing the coordinate -5 1/2 is:
		>
	a)	G
	b)	F
	c)	I
	d)	E
8.	What is the opposite of -4?
	a)	1/4
	b)	-1/4
	c)	4
	d)	0
9.	What is the opposite of 1/3 ?
	a)	1
	b)	3
	c)	0
	d)	-1/3
10.	What is the principal square root of 144?
	a)	a
	b)	b
	c)	c
	d)	d
11.	The area of a square is 25 square units. How long is each side of the square?
	a)	5 units
	b)	The square root of 5 units
	c)	10 units
	d)	625
12.	Write as a monomial using exponents: 2(3)aaaaabbbcc
	a)	a
	b)	b
	c)	c
	d)	d
13.	Which is larger, 2/3 or .67 ?
	a)	2/3
	b)	.67
14.	Arrange the following rational numbers in ascending order: 1/2, -0.75, 5, -2/3, .55
	a)	-2/3, -0.75, 1/2, .55, 5
	b)	-0.75, -2/3, .55, 1/2, 5
	c)	-2/3, -0.75, .55, 1/2, 5
	d)	-0.75, -2/3, 1/2, .55, 5
15.	What is the reciprocal of 5 ?
	a)	-5
	b)	1/5
	c)	-1/5
	d)	1
16.	What is the reciprocal of .3 ?
	a)	10/3
	b)	- .3
	c)	3/10
	d)	1
17.	To serve 100 people chocolate pie requires 30 pounds of chocolate/caramel mix to make the pies. If your next party will only have 30 people, how many pounds of chocolate mix will you need to make enough pies for the 30 people?
	a)	3 1/3
	b)	6 2/3
	c)	9
	d)	10
18.	A survey company randomly called 200 people to get their opinion on a certain product. Of the 200 people, 125 liked the product and 75 did not like it. If this same trend continues, how many people should like the product out of 1000 people?
	a)	625
	b)	475
	c)	550
	d)	700
19.	In 1992, the Math-is-Easy company had profits of $1,100,000. In 1997, Math-is-Easy's profits were $2,600,000. Find the rate of change of Math-is-Easy's profits in dollars per year ?
	a)	$200,000
	b)	$300,000
	c)	$250,000
	d)	$350,000
20.	Simplify:  4(2x - 4) + (-3x + 1)
	a)	5x - 3
	b)	11x - 3
	c)	11x - 15
	d)	5x - 15

Fractions

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Integer Operations

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Variables - Combining Like Terms

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Evaluating Expressions

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Formulas

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The Coordinate Grid

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Analyzing Graphs

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Answer Key

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Basic Math Operations

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1. 19
2. 24
3. 52
4. 88
5. 43

Click here for a review on order of operations.

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Fractions

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6. 11/15
7. 4/15
8. 5/9
9. 1 - 1/2
10. 19/24

Click here for a review of fractions.

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Integer Operations

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11. -60
12. 10
13. -9
14. 14
15. 37

For examples and practice using integers, visit Basic Algebra on Algebra-class.com.

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Variables - Combining Like Terms

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16. x+3
17. 5y + 3
18. x +5y -5
19. 3xy +x +5y
20. x+3

For examples and practice on Combining Like Terms , visit Simplifying Algebraic Expressions on Algebra-class.com.

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Evaluating Expressions

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21. 8
22. 6
23. -44

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Formulas

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24. 9.8 in²
25. diameter = 22 cm Circumference = 69.08cm
26. Perimeter = 64 in. Area = 256 in²
27. The area of the lawn is 19680 ft² John needs to buy 590.4 ounces of fertilizer.

Click here to revisit basic math formulas and to see examples.

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The Coordinate Grid

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Geometry Quiz

Geometry Quiz

Top of Form

1. A triangle with two sides congruent.
equilateral triangle
isosceles triangle
scalene triangle

2. The distance from side to side.
width
vertex
perimeter

3. A Chinese puzzle made by cutting a square of thin material into material into a number of pieces which can be recombined into many different figures.
parallelogram
symmetry
tangram

4. A polygon having three sides.
vertex
triangle
rectangle

5. A point where two or more rays meet, where sides of a polygon meet, or where edges of a polyhedron meet.
point
ray
vertex

6. Correspondence in size, shape, and relative position of parts on opposite sides of a dividing line or median plane or about a center of axis.
quadrilateral
similarity
symmetry

7. Two angles whose measures have a sum of 180 degrees.
supplementary angles
acute angles
right angles

8. An object having four equal sides and four right angles.
square
rectangle
parallelogram

9. The quality or state of being similiar.
geometry
vertex
similarity

10. To give a particular form or shape to.
plane
shapes
ray

11. A transformation obtained by rotating a figure a given turn angle about a point.
complementary angle
right angle
rotation

12. An angle that measures 90 degrees.
obtuse angle
right angle
supplementary angle

13. A parallelogram with four right angles.
perimeter
plane
rectangle

14. A part of a line that has one endpoint and extends in one direction without end.
ray
point
vertex

15. A polygon with four sides and four angles whose sum is 360 degrees.
quadrilateral
parallelogram
geometry

16. To solve with difficulty or ingenuity.
quiz
test
puzzle

17. A closed plane figure made up of line segments.
plane
square
polygon

18. An exact location in space.
place
ray
point

19. A flat surface extending in all directions.
geometry
square
plane

20. The distance around a polygon.
perimeter
rotation
area

21. A quadrilateral with opposite sides parallel. Each pair of opposite sides and angles are congruent.
parallel lines
parallelogram
polygon

22. Lines in the same plane that never intersect.
intersecting lines
parallel lines
plane

23. An angle that measures more than 90 degrees but less than 180 degrees.
obtuse angle
right angle
complementary angle

24. The longer or longest dimension of an object.
width
height
length

25. Lines that cross at one point.
intersecting lines
parallel lines
perimeter

26. A branch of mathematics that deals with the measurement, properties, and relationship of point, lines, angles.
geometry
algebra
symmetry

27. A unit for measuring angles.
rotation
tangram
degree

28. Equal.
joint
congruent
obtuse

29. Two angles whose measures have a sum of 90 degrees.
right angle
obtuse angle
complementary angle

30. The number of square units needed cover a given space.
perimeter
area
width

31. Two rays with a common endpoint called a vertex.
angle
complementary angle
supplementary angles

32. An angle with a measure less than 90 degrees.
supplementary angle
acute angle
complementary angle