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Math 8 Fall Benchmark

Last updated 3 months ago

39 questions

Equations

1

1

1

1

1

1

Congruence

1

1

1

1

Dilations and scale factors

1

1

1

1

Rigid Transformations

1

1

1

1

1

1

1

1

Slope

1

1

1

1

Linear Equations (Graph & Write)

1

1

1

1

1

Angle pairs

1

1

1

1

Triangle angles

1

1

1

1

Question 1

1.

What is a reasonable first step for solving the equation

4x - 14 = 6

add 14 to both sides

divide by 14 on both sides

multiply by 14 on both sides

subtract 14 from both sides

Question 2

2.

Which equation is equivalent to

14+7y-25=4y+10

3y-11=10

5y+11=30

3y+14=30

11y+10=39

Question 3

3.

Solve:

6+10p=8p+12

p=1

p=-6

p=3

p=6

Question 4

4.

Solve:

\frac{2}{3}x-1=17

x=12

x=24

x=\frac{1}{27}

x=27

Question 5

5.

Solve:

2(5x-7)+4=-35

x=-3.8

x=-3.2

x=-2.5

x=-5.3

Question 6

6.

Solve:

2m+5=5m-35-3m

no solution

m=-7

m=7

many solutions

Question 7

7.

\triangle ABC is congruent to \triangle QRS.

What angle is congruent to \angle A?

\angle Q

\angle S

\angle C

\angle R

Question 8

8.

\triangle ABC is congruent to \triangle QRS.

Which side is congruent to \overline{BC}?

\overline{AC}

\overline{SQ}

\overline{RQ}

\overline{RS}

Question 9

9.

Trapezoid ABCD is congruent to trapezoid EFGH.

What is the measure of side \overline{GF}?

9 \;cm

5 \;cm

4 \;cm

13 \;cm

Question 10

10.

Trapezoid ABCD is congruent to trapezoid EFGH.

Which angle in trapezoid EFGH is congruent to \angle D?

\angle E

\angle F

\angle H

\angle G

Question 11

11.

The two figures are similar.

What is the ratio of the small to large figure?

65

\frac{13}{5}

-\frac{5}{13}

\frac{5}{13}

Question 12

12.

The unshaded figure is a dilation of the shaded figure.

Find the scale factor.

6

-3

3

\frac{1}{6}

Question 13

13.

Find the coordinates of J after a dilation of 3.

J^{\prime}(-5,4)

J^{\prime}(3,-6)

J^{\prime}(-6,3)

J^{\prime}(-2,1)

Question 14

14.

Find the coordinates of G after a dilation of \frac{1}{2}.

I(1, -1), G(2, 4), L(3, 1)

G^{\prime}(1,2)

G^{\prime}(4,8)

G^{\prime}(2\frac{1}{2},4\frac{1}{2})

G^{\prime}(1\frac{1}{2},\frac{1}{2})

Question 15

15.

Choose the best rule to describe the transformation of the figure shown.

Translation

Reflection

Rotation 90\degree clockwise

Rotation 90\degree counterclockwise

Question 16

16.

Choose the best rule to describe the transformation of the figure shown.

Rotation 90\degree clockwise

Reflection

Rotation 90\degree counterclockwise

Translation

Question 17

17.

Find the coordinates of vertex Y after a translation 2 units left and 3 units down.

Y^{\prime}(-4, -1)

Y^{\prime}(-3, -2)

Y^{\prime}(-1, 1)

Y^{\prime}(-1, 4)

Question 18

18.

Find the coordinates of vertex J after a reflection across the y-axis.

J^{\prime}(-2, 5)

J^{\prime}(2, -5)

J^{\prime}(2, 5)

J^{\prime}(-2, -5)

Question 19

19.

Find the coordinates of vertex I after a rotation of 180\degree about the origin.

I^{\prime}(-2, 1)

I^{\prime}(1, -2)

I^{\prime}(2, 1)

I^{\prime}(2, -1)

Question 20

20.

Find the coordinates of vertex D after a rotation of 90\degree counterclockwise about the origin.

D^{\prime}(3, 5)

D^{\prime}(-3, -5)

D^{\prime}(5, 3)

D^{\prime}(-5, 3)

Question 21

21.

Choose the best rule to describe the transformation of the figure shown.

Reflection

Translation

Rotation 90\degree clockwise

Rotation 90\degree counterclockwise

Question 22

22.

Choose the best rule to describe the transformation of the figure shown.

Translation 7 units right and 2 units down

Rotation 180\degree

Reflection over y-axis

Translation 7 units left and 2 units up

Question 23

23.

Find the growth rate (slope) shown in the table.

\frac{1}{3}

-3

3

1

Question 24

24.

Find the slope of the line that passes through

(7,2) and (11, 5).

m=\frac{7}{18}

m=\frac{4}{3}

m=\frac{6}{5}

m=\frac{3}{4}

Question 25

25.

A student finds the slope of the line between

(17, 19) and (22, 21).

He writes \frac{19-21}{22-17}. What mistake did he make?

He used y-values where he should have used x-values.

He should have added the values, not subtracted them.

He did not make a mistake.

He did not keep the order of the points the same in the numerator and the denominator.

Question 26

26.

Find the slope of the line.

2

-\frac{1}{2}

\frac{1}{2}

-2

Question 27

27.

What is the equation of the line in the graph shown below?

y=\frac{2}{3}x+3

y=\frac{3}{2}x-2

y=-\frac{2}{3}x+2

y=-3x+2

Question 28

28.

Which is the equation of the line with a slope of -\frac{1}{3} and a y-intercept at (0, -2)?

y=-\frac{1}{3}x-2

y=\frac{1}{3}x-2

y=\frac{1}{3}x+2

y=-\frac{1}{3}x+2

Question 29

29.

What is the equation of the line?

y=x

y=3

x=3

y=3x

Question 30

30.

Graph the linear equation y = 2x + 6.

Question 31

31.

Graph the linear equation y=-\frac{4}{9}x+7.

Question 32

32.

If \angle f = x + 44 and \angle b = 2x - 17, then find the value of \angle f.

73\degree

95\degree

105\degree

107\degree

Question 33

33.

If \angle e=84\degree, then find the value of \angle c.

116\degree

84\degree

6\degree

96\degree

Question 34

34.

Name the angle relationship for angles a and h.

vertical angles

alternate exterior angles

corresponding angles

alternate interior angles

Question 35

35.

Name the angle relationship for angles c and g.

alternate exterior angles

vertical angles

corresponding angles

alternate interior angles

Question 36

36.

Find the measure of \angle x.

26\degree

162\degree

64\degree

116\degree

Question 37

37.

The measures of three angles of a triangle are
(2x)\degree, (3x)\degree, and (x+60)\degree.

What is the value of x?

5\degree

12\degree

20\degree

10\degree

Question 38

38.

Find the measure of \angle BCD.

92\degree

90\degree

102\degree

88\degree

Question 39

39.

Find the value of x.

25

8.3

15

45