Quiz about Act Algebra Math Review

Question 1

What is the greatest common factor of 42, 126, and 210 ?

Accepted Answer

42

Answer

2

Answer

6

Answer

21

Question 2

Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?

Accepted Answer

16

Answer

17.5

Answer

20.5

Answer

22

Question 3

In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?

Accepted Answer

110

Answer

158

Answer

70

Answer

120

Question 4

How many irrational numbers are there between 1 and 6 ?

Accepted Answer

Infinitely Many

Answer

1

Answer

3

Answer

4

Question 5

Choose the letter that represents the missing length in the figure

Accepted Answer

6

Answer

12

Answer

10

Answer

7

Question 6

Which of the following is the sine of A in the right triangle below?

Accepted Answer

12/13

Answer

5/13

Answer

5/12

Answer

12/5

Question 7

What is the slope of any line parallel to the line 9x + 4y = 7 ?

Accepted Answer

-(9/7)

Answer

-9

Answer

7

Answer

(9/7)

Question 8

A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player ?

Accepted Answer

$56.00

Answer

$77.60

Answer

$50.00

Answer

$44.00

Question 9

What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3 ?

Accepted Answer

(3/8)

Answer

(3/5)

Answer

(7/8)

Answer

(5/8)

Question 10

What is the difference between 1.8 and 1.08 ?
(Note: A bar indicates a digit pattern that is repeated.)

Accepted Answer

0.71919...

Answer

0.7111...

Answer

0.7222...

Answer

0.717171...

Question 11

Ms. Hernandez began her math class by saying:
I'm thinking of 5 numbers such that their mean is equal to their median. If 4 of the numbers are 14, 8, 16, and 14, what is the 5th number?What is the 5th number Ms. Hernandez is thinking of?

Accepted Answer

18

Answer

14

Answer

15

Answer

16

Question 12

Question 12.

Accepted Answer

20v+10

Answer

20p+10v

Answer

10(v+p)

Answer

30(v+p)

Question 13

Question 13.

Accepted Answer

$322.50

Answer

$126

Answer

$315

Answer

$378

Question 14

Question 14.

Accepted Answer

240

Answer

210

Answer

231

Answer

245

Question 15

Question 15.

Accepted Answer

3<x<4

Answer

1<x<2

Answer

2<x<3

Answer

4<x

Question 16

Question 16.

Accepted Answer

3<x<4

Answer

1<x<2

Answer

2<x<3

Answer

4<x

Question 17

Question 17.

Accepted Answer

2100

Answer

60

Answer

180

Answer

210,000

Question 18

Question 18.

Accepted Answer

4

Answer

2

Answer

3

Answer

8

Question 19

Question 19.

Accepted Answer

72

Answer

4

Answer

12

Answer

3

Question 20

Question 20.

Accepted Answer

-3a - 4b + 8c

Answer

-4a - 8b - 2c

Answer

-4a - 4b + 8c

Answer

-3a + 8b - 2c

Question 21

Question 21.

Accepted Answer

I, III, and IV only

Answer

I and III only

Answer

I, II, and III only

Answer

II, III, and IV only

Question 22

Question 22.

Accepted Answer

384

Answer

512

Answer

256

Answer

192

Question 23

What type of number is 5/8?

Accepted Answer

Rational

Answer

Irrational

Answer

both

Answer

neither

Question 24

What is the area of a triangle whose base is 10 in and height is 5 in?

Accepted Answer

25 in2

Answer

50 in2

Answer

30 in2

Answer

15 in2

Question 25

Write the standard form. 8.98 x 10⁵

Accepted Answer

898000

Answer

89800000

Answer

8980000

Answer

8.9800000

Question 26

What is the scientific notation of 6700000?

Accepted Answer

6.7 x 10⁶

Answer

6.7 x 10⁵

Answer

67 x 106

Answer

67 x 105

Question 27

|-5| + |2| =

Accepted Answer

7

Answer

-7

Answer

3

Answer

-3

Question 28

^{There are 45 boys and 54 girls in your school's senior class. What is the ratio of boys to girls?}

Accepted Answer

5:6

Answer

1:5

Answer

1:6

Answer

5:11

Question 29

The corner convenience store sells candy bars at 4 for $2.91.  At this price, how much would the store charge for 3 candy bars?

Accepted Answer

$2.18

Answer

$0.73

Answer

$1.11

Answer

$1.99

Question 30

Eliza bought a meal that cost $12. She tipped the waiter 25% of that amount. How much was the tip?

Accepted Answer

$3.00

Answer

$6.00

Answer

$2.50

Answer

$3.50

Question 31

Kelly needs to get a minimum of 75% on today's 60-point math test in order to pass the class. What is the least number of points that she must score to achieve this goal?

Accepted Answer

45

Answer

15

Answer

35

Answer

40

Question 32

What is 4% of 80?

Accepted Answer

3.2

Answer

320

Answer

32

Answer

0.032

Question 33

Kyle is looking to buy a shirt for his girlfriend's birthday that normally cost $85.  Lucky for Kyle, the store selling the shirt is having a 30% off sale for all items.  After the discount, Kyle must pay 6% sales tax on the shirt.  How much does Kyle end up spending on this shirt for his girlfriend?

Accepted Answer

$63.07

Answer

$27.03

Answer

$59.50

Answer

$54.57

Question 34

Daphne always make sure to bring coupons to the store.  While shopping for cookies, she finds a box discounted by 12% from it normal price of $4.30. Daphne has a coupon that takes an additional 4% off the already discounted price.  After the sales tax of 6% on the final price, how much does Daphne spend on the box of cookies.

Accepted Answer

$$3.85

Answer

$3.78

Answer

$3.63

Answer

$3.59

Question 35

Which of the following inequalities is equivalent to the inequality 4 (x+6) > 5(x-3)?

Accepted Answer

x <39

Answer

x < -9

Answer

x < 5

Answer

x<9

Question 36

If  q = -1, r = 4, and s = 7, what does (q + r - s) (r - q) equal

Accepted Answer

18

Answer

2

Answer

17

Answer

3

Question 37

What is the value of the expression (2x + y)(2x - y) when x = 4 and 4 = -5?

Accepted Answer

39

Answer

9

Answer

13

Answer

-9

Question 38

Find the perimeter if            x = 15 ft and y = 10 ft.

Accepted Answer

50 ft

Answer

25 ft

Answer

60 ft

Answer

150 ft

Question 39

Find the area if a = 13 in,    b = 9 in and c = 16 in.

Accepted Answer

58.5 in2

Answer

38 in2

Answer

117 in2

Answer

468 in2

Question 40

What is the algebraic expression for                  "the sum of n and 9"?

Accepted Answer

n + 9

Answer

n - 9

Answer

n/9

Answer

9n

Question 41

What word phrase can you use to represent "5x + 2"?

Accepted Answer

the sum of five times a number x and two

Answer

five times the sum of a number x and two

Answer

two times the sum of a number x and five

Answer

a number x times the sum of five and two

Question 42

What is the sum?
-7 + 5

Accepted Answer

-2

Answer

12

Answer

-12

Answer

2

Question 43

Simplify
(1/3)(21m + 27)

Accepted Answer

7m + 9

Answer

63m + 9

Answer

7m + 81

Answer

7m + 27

Question 44

Find the number of degrees in the third angle of the triangle

Accepted Answer

68

Answer

155

Answer

112

Answer

74

Question 45

(5n-8)(5n+8)

Accepted Answer

25n2-64

Answer

10n2

Answer

5n2+16

Answer

16

Question 46

Find the sum.
(5x²-3x + 4) + (6x -3x²- 3)

Accepted Answer

2x² + 3x +1

Answer

3x² + 2x + 1

Answer

2x² + 5x - 7

Answer

3x²+ 4x⁵ -7x

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