8th Grade
Pre-Algebra
End of
Year
Review
100
sqrt(18) can be estimated to be between which two integers
4 and 5
100
Simplify the expression:
6(x - 4) +12
6x - 12
100
Is the relation a function? Explain.
(0,0), (2,0), (2,2), (3,4), and (6,6)
No, because two points have different y-values for the same x-value of 2.
100
A right triangle has side lengths of 15inches and 18 inches. What is the length of the hypotenuse, in inches?
23.4 inches
Pythagorean Theorem:
a^2+b^2 = c^2
100
What is the slope?
(2,12) (4,12)
zero
200
-sqrt(18) _____ -sqrt(25)
Compare using an inequality sign.
>
Greater than
200
Simplify 5(5.2x+4)
26x+20
200
Which function is linear?
Function A is linear.
200
DeSoto Middle School is located at (0,0) on a coordinate plane. The high school is located 4 miles directly east of the middle school. The hospital is located 2 miles directly north of the middle school.
How many miles long is a straight line between the school and the fire station? Round to the nearest tenth.
4.5 miles
Pythagorean Theorem
2^2+4^2=c^2
4+16=c^2
sqrt(20)=sqrt(c^2)
c=4.5
200
What type of association does the scatterplot show?
It shows a negative association.
300
Solve
(3/12)^-2 * (2/8)^-2
256 or 16^2
300
What is the coefficient for 12a^2 ?
12
300
The high school holds an annual Powderpuff game to raise money. There is a $10 entry fee and the concession items are $3 each.
Write an equation in the form y=mx+b .
The equation is
y=3x+10
300
A triangle table has a base of 10 inches, 11 inches, and 15 inches. Will the table fit in a corner of a square living room? Explain.
No, because it is not a right triangle.
300
Draw a trend in the scatter plot.
400
Write 0.023 in scientific notation
2.3*10^-2
400
Solve for x.
25.8x+20+5.4x=80+1.2x
x=2
400
What is the solution of the system of equations?
y=3x-1 and y=2x+1
MA.8.AR.4.3
(2,5)
400
What is the m/_XWZ , in degrees?
m/_XWZ = 117.5^*
400
What is the slope
All the outcomes that are part of the sample space are A, B, and D.
500
Find (0.5*10^7)+(1.8*10^6) . Express answer in scientific notation.
6.8*10^6
500
Solve and graph the inequality
-1/10x+1 2/5>= 1 7/10
-3
500
How many solutions does the system of equations have? Explain.
MA.8.AR.4.2
The system of equations has one solution. The lines intersect at one point.
500
What is m/_4 ?
m/_4 = 55^*
500
A quarter is tossed three times.
Part A - What is the probability that at least one quarter lands tails-up when 3 are flipped?
MA.8.DP.2.2
There is a 0.875 probability that at least one will land tails-up.
600
What is the answer in scientific notation?
frac{3.3*10^-3}{5.5*10^9}
6*10^-13
600
Solve
x+2=4x-10
x=4
600
What is the ordered pair to the solution of this system of equations:
y=2x-4
y=-2x+4
(2,0)
600
How many degrees is the sum of the measures of the interior angles of a regular polygon with 3 sides?
180^*
600
A quarter is tossed three times.
Part B - If you repeat this experiment 500 times, how many times do you predict that the quarter will land on the same side for all three flips?
MA.8.DP.2.3
The quarter will land on the same side 125 for all three flips.
700
Emily is building a fence around her flower garden. The expression 4*sqrt(121) gives the number of feet of fencing she needs for her garden with an area of 121 square feet. How many feet of fencing does Emily need?
Emily needs 44 feet of fencing.
700
What statements are true for the linear relationship? Choose all that apply.
A) The relationship is not proportional.
B) The relationship is proportional.
C) The graph passes through the origin.
D) The graph does not pass through the origin.
E) The slope is the same as the constant of proportionality.
The correct statements are B, C, and E.
700
Joe hired an plumber. The equation y=40x+60 represents the cost in dollars, y , of hiring the plumber for x hours. Which statements are true?
A) The y-intercept means the initial cost is $40.
B) The slope means the cost increases $40 each hour.
C) The slope means the cost increases $60 each hour.
D) The y-intercept means the initial cost is $60.
The statements B and D are correct.
700
What kind of transformation maps ABCD onto A'B'C'D'?
A translation maps ABCD onto A'B'C'D'.
700
Triangles DEF and XYZ are similar. What two proportion could be used to find XY?
MA.8.GR.2.4
(EF)/(YZ)=(DE)/(XY)
(9.4)/(4.7)=(6.8)/(XY)
800
What is an equation of the linear relationship in slope-intercept form?
y=-1/2x+2
800
What is the slope of the line that passes through the points?
The slope is -5.
800
The cost of an Uber ride includes $5 fee, plus an additional $2 per mile.
Graph the line relating bus ride costs to distance (in miles).
800
Figure A'B'C'D' is a dilation of figure ABCD. What is the scale factor?
The scale factor is 2.25.