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 >)
