College test english 10 ppsx

LearningExpress Skill Builders • CHAPTER 4 89

22. (3

x

)  (1

3

0

x

) (

2

5

x

) is equivalent to

a. 1

7

5

x

b.

3

3

1

0

x

c. 1

8

8

x

d. 3

7

0

x

23. If 2x y  4 and x  y  8, then what is x equal

to?

a. 4

b. 12

c. 4

d. 12

24. What is the value of the expression 5x2  2xy3

when x  3 and y  2?

a. 3

b. 3

c. 93

d. 93

25. If a  2, b  1, and c 

1

2

,

2a

c

b

 5 is equal

to which of the following?

a. 5

b. 10

c. 20

d. 25

ANSWERS

OPERATIONS WITH WHOLE

NUMBERS

1. b. This is a problem with several steps. First, fig￾ure out how many dozen bracelets Janice makes

each day. To do this you would divide 36 by one

dozen, or 12, and 36 12  3. So she makes 3

dozen bracelets per day. Now, figure out how

much she makes on bracelets per day: $18  3 

$54. Finally, figure out how much Janice makes

per week. To do this, you must multiply how much

she makes per day ($54) by how many days per

week (5) she works: $54  5  $270.

2. a. This problem has multiple steps. First, figure out

what Deanna spent: $7 for popcorn, 2 hot dogs

 2 girls  $3 each equals $12, 2 sodas  $4 

$8. Then add them up: $7  $12  $8  $27.

Next, figure out what Jamie spent: $13  2  $26.

Lastly, subtract the two numbers: $27 $26 

$1. Deanna spent $1 more.

OPERATIONS WITH FRACTIONS

3. c.Converting mixed numbers into improper frac￾tions is a two-step process. First, multiply the

whole number by the denominator of the fraction.

Then, add that number (or product) to the

numerator of the fraction. So 1

1

8



9

8

and 1

3

5



8

5

.Area  length  width, so

9

8



8

5



7

4

2

0



9

5

1

4

5

.

Hint: To convert the improper fraction (

9

5

) into

a mixed number, you divide the denominator (5)

into the numerator (9). Any remainder becomes

part of the mixed number (5 goes into 9 once with

a remainder of 4, hence 1

4

5

).

–ESSENTIAL PRACTICE WITH MATH–