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8th Grade
Ciphering
Sample
1st Interval 2nd Interval 3rd Interval
Sample Answer
1-1
152
94
51 x
Solve.
1-1 Answer
43-x
1-2Chris saved twice the number of quarters that Nora saved plus six. The number of quarters that Chris saved is also five times the difference of the number of quarters and three that Nora has saved. How many quarters did Chris save?
1st Interval 2nd Interval 3rd Interval
1-2 Answer
20 quarters
1-3
Consider the arithmetic sequence3,-10,-23,-36,…Find the 15th term in the sequence.
1st Interval 2nd Interval 3rd Interval
1-3 Answer
-179
1-4
Write an equation in slope-intercept form for the line that passes through (-4,-5) and is perpendicular to -4x+5y=-6.
1st Interval 2nd Interval 3rd Interval
1-4 Answer
1045- y x
1-5
Simplify the expression.
xyzzxyyx 4332
225
1st Interval 2nd Interval 3rd Interval
1-5 Answer
4128800 zyx
Extra 1
21110 hSolve.
1st Interval 2nd Interval 3rd Interval
Extra Answer
h = 40
2-1
122
31
52
mmSolve.
1st Interval 2nd Interval 3rd Interval
2-1 Answer
m=15
2-2
Tickets to the county fair are $8 for an adult and $5 for a
child. If you have a 15% discount card, how much will
2 adult tickets and 2 child tickets cost?
1st Interval 2nd Interval 3rd Interval
2-2 Answer
$22.10
2-3
Line passes through (-9,4) 4with a slope of . 7
Write an equation for line in standard form.
d
d
1st Interval 2nd Interval 3rd Interval
2-3 Answer
4x-7y=-64
2-4
Jake bought a one-month membership to a fitness center for $35. Each time he goes, he rents a locker for $0.25. If he spent $40.50 at the fitness center last month, how many days did he go?
2-4 Answer
22 days
2-5
83
256Simplify.
1st Interval 2nd Interval 3rd Interval
2-5 Answer
8
Extra 2
7327 rSolve.
1st Interval 2nd Interval 3rd Interval
Extra 2 Answer
r = 2
3rd Cipherer
3-1
4231162
91
mm
Solve.
1st Interval 2nd Interval 3rd Interval
3-1 Answer
m=-7
3-2
Find three consecutive integers such that three times the sum of the first two integers is the same as thirteen more than four times the third integer.
1st Interval 2nd Interval 3rd Interval
3-2 Answer
9,10,11
3-3
If the line through (-2,4) and (5,d) is parallel to y = 3x + 4, what is the value of d?
1st Interval 2nd Interval 3rd Interval
3-3 Answer
3-4
Carmen wants to run 5 miles at an average pace of 9 minutes per mile. After 4 miles, her average pace is 9 minutes 10 seconds. What pace (in minutes and seconds) must she complete her final mile to reach her goal?
1st Interval 2nd Interval 3rd Interval
3-4 Answer
8 minutes 20 seconds
3-5
12966 4 x
Solve.
1st Interval 2nd Interval 3rd Interval
3-5 Answer
8
Extra 3
325 hSolve.
1st Interval 2nd Interval 3rd Interval
Extra 3 Answer
h = 17
4th Cipherer
4-1
15543
k
Solve.
1st Interval 2nd Interval 3rd Interval
4-1 Answer
k = 25
4-2
Find the sum of the x and y-intercepts for 4x – 14y = 28.
1st Interval 2nd Interval 3rd Interval
4-2 Answer
5
4-3
A hot air balloon was at a height of 60 feet above the ground when it began to ascend. The balloon climbed at a rate of 15 feet per minute. What was the height of the balloon after climbing for 8 minutes.
1st Interval 2nd Interval 3rd Interval
4-3 Answer
180 feet
4-4
What is the point of intersection between 4x + 7y = -80 and 3x + 5y = -58?
1st Interval 2nd Interval 3rd Interval
4-4 Answer
(-6,-8)
4-5
Find the eleventh term of the geometric sequence 3, -6, 12, -24, …
1st Interval 2nd Interval 3rd Interval
4-5 Answer
3072
Extra 4
237 kSolve.
Extra 4 Answer
k = 11
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