Abeka Pre-Algebra Test 4 Grade 8

([a] Write an equation or proportion and [b] solve) Rachel owns 4 fewer than twice as many pairs of shoes as her friend Nicole. If Rachel has 14 pairs of shoes, how many pairs of shoes does Nicole have?

(a) 2n-4=14 (b) Nicole: 9 pairs

([a]Write an equation or proportion and [b] solve) If 5 times a number is decreased by 12, the result is 108. What is the number?

(a) 5n-12=108 (b) number= 24

([a] Write an equation or proportion and [b] solve)A volleyball team played 25 games. The ratio of games won to games lost was 6:4. How many games did the team win?

(a) 6/10=x/25 (b) games won: 15

([a] Write an equation or proportion and [b] solve) Hunter is four years older than his sister Elizabeth. If the sum of their ages is 18, how old is Hunter?

(a) x+(x+4)=18 (b) Hunter's age: 11

The equation 3(5x+4)=27 can be simplified to "15x+4=27"

15x+12=27

10<2x+8<_ 16

1<x<_ 4 ( _ goes under <)

Writing Inequalities

22. x>_ -1

Does the graph for you

23. -6 <_ x<-3

Does the graph for you

24. -2<x<4

Does the graph for you

25. x does not equal 0

An inequality with two inequality symbols is called a "compound" inequality

True

The inequality -3<x is equivalent to the inequality x>-3

True

a-1>_3

a>_4 ( _ goes under >)

-1<_ y<_ 1

closed circle on -1 color to 1, closed circle on 1

-4<_ x<3

closed circle on -4 color and make an open circle on 3

5m+2m=28

m=4

Two consecutive intergers would be represented with n and "2n" (modified true/false)

n+1

3n-9=3(-9)

n=-6

x does not equal -3

open circle on -3 color all the way to -6 color all the way from -3 to 6

(graphing inequalities) x<2

open circle on 2, color in all the way to the far left

p/2+6=12

p=12

The inequality -2x>8 is equilvalent to the inequality x>-4

x<-4

5/11=9/x

x= 99/5

6/x=9/21

x=14

3x+4=10(x-1)

x=2

x - 8=14

x=22

4x+3=21-2x

x=3

5x+3=18

x=3

2/15=x/10

x=4/3

2/3y=8

y=12

5y+4-4y=12

y=8

-3y-2<_10

y>_ -4 ( _ goes under >)