CLAST Math
On-Line Practice Quiz

(Chapter 2 - Form B: Algebra Skills)

CLAST Algebra Skill Objectives

Add, subtract, multiply and divide real numbers
Apply the order-of-operations agreement
Use scientific notation
Solve linear equations and inequalities
Use formulas to compute results
Find particular values of a function
Factor a quadratic expression
Find the roots of a quadratic equation
Solve a system of two linear equations in two unknowns
Use properties of operations correctly
Determine whether a number is among the solutions of a given equation or inequality
Recognize statements and conditions of proportionality and variation
Identify regions of the coordinate plane that correspond to specific conditions and vice versa
Use applicable properties to select equivalent equations or inequalities
Solve real-world problems involving the use of variables
Solve problems that involve the structure and logic of algebra

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CLAST Math Algebra Practice Quiz

Multiple Choice [One Answer Only]

Question 1

Simplify: 9

+ 15

- 6 =

a) 3² + 18
b) 24 - 6
c) 18
d) 24² - 6

Question 2

Add: =

a) 25
b) 15650
c)
d)

Question 3

Substract:

a) 100
b)
c) 5
d)

Question 4

Multiply:

a) 7
b)
c) 147
d)

Question 5

Divide:

a)

b)

c)

d)

Question 6

Find: (1.4 x 10¹⁴ ) (6.5 x 10^-7)

a) 9,100,000
b) 910,000,000
c) -91,000,000
d) 91,000,000

Question 7

Find: 0.00312 ÷ 15,600

a) 2.00 x 10⁷
b) 2.00 x 10¹
c) 2.00 x 10^-1
d) 2.00 x 10^-7

Question 8

Find: ( 6.44 x 10³ ) ÷ ( 1.4 x 10³ )

a) 0.46
b) 4.6
c) 46
d) - 4.6

Question 9

Find: 3/7 - 5 (1 + 5)

a) - 29 4/7
b) 29 4/7
c) 3/7
d) - 4 1/7

Question 10

Find: 3t + 2t x 3 + 28t² ÷ 7 x 3

a) 4/3 t²+ 9t
b) 12t²+ 9t
c) 4/3 t² + 15t
d) 12 t²+ 15t

Question 11

Choose the expression equivalent to the following:
3(5) + 3(14)

a) (3 + 3) (5 + 14)
b) 6 (5) (14)
c) 3 (3) + 5 (14)
d) 3 (5 + 14)

Question 12

Choose the expression equivalent to the following:
9 + 8 + 12

a) 9 (8) + 12
b) 8 + 9 + 12
c) 9 (8 + 12)
d) 12 - 8 - 9

Question 13

Choose the statement that is not true for all real numbers.

a) 4xy (3x + y) = 4xy (3y + x)
b) ( a + b ) (a - b) = ( a - b) (a + b)
c) 4 (a) + 4 (b) = 4( a + b)
d) (3a)b = 3(ab)

Question 14

Choose the inequality equivalent to -2 < - 2x - 4 < 2 .

a) x < -1
b) x > 3
c) -3 < x < -1
d) -1 < x < 3

Question 15

Solve for a: 10 (a + 6) = 8 [a - (4 - a) ]

a) -15 1/3
b) 15 1/3
c) -10 4/5
d) 10

Question 16

Solve for a: a = 3(12a - [20a + (8a - 19 ) ] ) + 1

a) a = - 58/49
b) a = 8/7
c) a = 58/49
d) a = - 8/7

Question 17

Solve for b: 9b - 17 < 10b + 12

a) b = -29
b) b > -29
c) b < -29
d) b > 29

Question 18

Solve for x: 9x - 7x + 9 > 2x - (17 - 2x)

a) x < - 13/3
b) x < 13
c) x > - 13/3
d) x > 13

Question 19

For each of the statements below, determine whether -2 is a solution.
i. | x - 2 | = 0
ii. (t + 5) ( t - 1 ) < 9
iii. y²+ 4y + 21 = 17

a) i only
b) iii only
c) ii and iii only
d) ii only

Question 20

For each of the statements below, determine whether 2/3 is a solution.
i. 2x - 4/3 < 0
ii. (6y - 2) (y - 4) = 0
iii. 3t - 4 = - 6t

a) ii only
b) All of the statements
c) i only
d) ii and iii only

Question 21

For each of the statements below, determine whether 5 is a solution:
i. x³ > 0
ii. (x - 5) (x + 6) = 0
iii. 5(x - 9) > 0, given x > 9

a) i only
b) All of the statements
c) ii and iii only
d) i and ii only

Question 22

If a = (b + 4)² and b = 7, find a .

a) 121
b) 65
c) 49
d) 11

Question 23

The formula for converting a Fahrenheit temperature to Celsius is C = 5/9 (F - 32º). What is the temperature on the Celsius scale when the Fahrenheit temperature is 86º ?

a) 66º
b) 16º
c) 270º
d) 30º

Question 24

The formula for finding the simple interest (I) on a loan is I = PRT. How much interest will Bill pay on his car loan if he finances $5,000 (P) at a 14% simple interest rate (R) for 3 years (T) ?

a) $700
b) $2100
c) $233
d) $210

Question 25

Find f (2) given f (x) = x² + x - 7 .

a) 6
b) 1
c) -3
d) -1

Question 26

Find f (2) given f (x) = -x³ - 2x²+ 24 .

a) 4
b) 8
c) -32
d) 0

Question 27

Which is a linear factor of 3x² + 13x + 4 ?

a) 3x + 1
b) x - 3
c) 3x - 2
d) x + 3

Question 28

Which is a linear factor of 2x² + 6x - 20 ?

a) x - 1
b) x - 2
c) x + 6
d) x - 5

Question 29

Which is a linear factor of 2x² - 8 ?

a) x -
b) x +
c) x - 4
d) x - 2

Question 30

Use the quadratic formula to solve: x² - 9x - 4 = 0

a) and

b) and

c) and

d) and

Question 31

Find the real roots of the equation: 2x²+ 1 = 6x

a)

b)

c)

d)

Question 32

Find the real roots of the equation: 3x² = -7x + 1

a)

b)

c)

d)

Question 33

Solve the system:
x + 4y = -5
2x - 3y = 12

a) (3, 2)
b) { ( x, y) | y = - 1/4 x - 5/4}
c) (3, -2)
d) The empty set

Question 34

Solve the system:
3x - y = -5
-3x + y = -10

a) (-2 , -1)
b) { ( x, y) | y = 3x + 5 }
c) The empty set
d) (2 , -1)

Question 35

Solve the system:
4y + x = 18
4x + 16y = 72

a) ( 2, - 4)
b) { ( x, y) | y = - 1/4 x + 9/2 }
c) The empty set
d) ( 2, 4)

Question 36

Which shaded region identifies the portion of the plane in which x > 7 and y < -3 ?

a) b)
c) d)

Question 37

What conditions correspond to the shaded region of the plane shown below ?

a) y = x
b) x < 1, y > 1, and y > x
c) y > 2x + 1
d) x < 1 and y > 1

Question 38

Which option gives the condition(s) that corresponds to the shaded region of the plane shown below?

a) x > 5 and y < 5
b) y > x + 5
c) x > 5 , y < 5 and y < x
d) y = - x

Question 39

Two machines can complete 9 tasks every 4 days. Let t represent the number of tasks these machines can complete in a 30-day month. Select the correct statement of the given condition.

a) t/4 = 5/3
b) t/9 = 2/15
c) 4/9 = t/30
d) 4/9 = t/30

Question 40

There are 2 male students to every 7 female students at a local school. Select the statement of the condition when there are 38 male students.

a) 2/7 = X/38
b) 2/7 = 38/X
c) 38/2 = 7/X
d) 7/2 = 38/X

Question 41

Ten pounds of grass seed will cover 100 square feet. Let p represent the number of pounds of seed needed to cover 780 square feet. Select the correct statement of the given condition.

a) 10/100 = 780/p
b) p/10 = 100/780
c) 10/100 = p/780
d) 100/10 = p/780

Question 42

The area of a set of rectangular pictures is held constant while the length and width may change. If the length is 9 when the width is 3, select the statement of the condition when the width is 2 .

a) 9/3 = L/2
b) L/9 = 3/2
c) L/2 = 3/9
d) L/9 = 2/3

Question 43

The cost of a long-distance phone cell from New York to Athens is defined by C(t) = 0.80( t -1) + 1.00, where the cost is $1.00 for the first minute and $ 0.80 for each additional minute. Find the cost of a 29-minute phone call.

a) $ 22.40
b) $ 23.20
c) $ 23.40
d) $ 24.20

Question 44

The horsepower that a rotating shaft can safely transmit varies jointly as the cube of its diameter d and the number n of revolutions it makes per minute. If a 3-inch shaft at a speed of 1900 revolutions per minute can safely transmit 900 horsepower, find the horsepower that a 4-inch shaft can safely transmit at a speed of 2300 revolutions per minute.

a) 7747 hp
b) 2582 hp
c) 646 hp
d) 1937 hp

Question 45

The difference between a number and five more than twice the number is eight . What equation could be used to find x, the number?

a) x - (2x + 5) = 8
b) x - 2x + 5 = 8
c) x + (2x - 5 ) = 8
d) x - ( 5x + 2 ) = 8

Question 46

The sum of a number and 4 is 20 . What equation could be used to find x, the number?

a) x + 4 = 20
b) x - 4 = 20
c) 4 - x = 20
d) x + 20 = 4

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CLAST Math On-Line Practice Quiz

(Chapter 2 - Form B: Algebra Skills)

CLAST Algebra Skill Objectives

CLAST Math Algebra Practice Quiz

Multiple Choice [One Answer Only]

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

CLAST Math
On-Line Practice Quiz