Math 8 Fall Benchmark
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Last updated 15 days ago
39 questions
Equations
1
What is a reasonable first step for solving the equation
4x - 14 = 6
What is a reasonable first step for solving the equation
4x - 14 = 6
1
Which equation is equivalent to
14+7y-25=4y+10
Which equation is equivalent to
14+7y-25=4y+10
1
Solve:
6+10p=8p+12
Solve:
6+10p=8p+12
1
Solve:
\frac{2}{3}x-1=17
Solve:
\frac{2}{3}x-1=17
1
Solve:
2(5x-7)+4=-35
Solve:
2(5x-7)+4=-35
1
Solve:
2m+5=5m-35-3m
Solve:
2m+5=5m-35-3m
Congruence
1
\triangle ABC is congruent to \triangle QRS.
What angle is congruent to \angle A?
\triangle ABC is congruent to \triangle QRS.
What angle is congruent to \angle A?
1
\triangle ABC is congruent to \triangle QRS.
Which side is congruent to \overline{BC}?
\triangle ABC is congruent to \triangle QRS.
Which side is congruent to \overline{BC}?
1
Trapezoid ABCD is congruent to trapezoid EFGH.
What is the measure of side \overline{GF}?
Trapezoid ABCD is congruent to trapezoid EFGH.
What is the measure of side \overline{GF}?
1
Trapezoid ABCD is congruent to trapezoid EFGH.
Which angle in trapezoid EFGH is congruent to \angle D?
Trapezoid ABCD is congruent to trapezoid EFGH.
Which angle in trapezoid EFGH is congruent to \angle D?
Dilations and scale factors
1
The two figures are similar.
What is the ratio of the small to large figure?
The two figures are similar.
What is the ratio of the small to large figure?
1
The unshaded figure is a dilation of the shaded figure.
Find the scale factor.
The unshaded figure is a dilation of the shaded figure.
Find the scale factor.
1
Find the coordinates of J after a dilation of 3.
Find the coordinates of J after a dilation of 3.
1
Find the coordinates of G after a dilation of \frac{1}{2}.
I(1, -1), G(2, 4), L(3, 1)
Find the coordinates of G after a dilation of \frac{1}{2}.
I(1, -1), G(2, 4), L(3, 1)
Rigid Transformations
1
Choose the best rule to describe the transformation of the figure shown.
Choose the best rule to describe the transformation of the figure shown.
1
Choose the best rule to describe the transformation of the figure shown.
Choose the best rule to describe the transformation of the figure shown.
1
Find the coordinates of vertex Y after a translation 2 units left and 3 units down.
Find the coordinates of vertex Y after a translation 2 units left and 3 units down.
1
Find the coordinates of vertex J after a reflection across the y-axis.
Find the coordinates of vertex J after a reflection across the y-axis.
1
Find the coordinates of vertex I after a rotation of 180\degree about the origin.
Find the coordinates of vertex I after a rotation of 180\degree about the origin.
1
Find the coordinates of vertex D after a rotation of 90\degree counterclockwise about the origin.
Find the coordinates of vertex D after a rotation of 90\degree counterclockwise about the origin.
1
Choose the best rule to describe the transformation of the figure shown.
Choose the best rule to describe the transformation of the figure shown.
1
Choose the best rule to describe the transformation of the figure shown.
Choose the best rule to describe the transformation of the figure shown.
Slope
1
Find the growth rate (slope) shown in the table.
Find the growth rate (slope) shown in the table.
1
Find the slope of the line that passes through
(7,2) and (11, 5).
Find the slope of the line that passes through
(7,2) and (11, 5).
1
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?
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?
1
Find the slope of the line.
Find the slope of the line.
Linear Equations (Graph & Write)
1
What is the equation of the line in the graph shown below?
What is the equation of the line in the graph shown below?
1
Which is the equation of the line with a slope of -\frac{1}{3} and a y-intercept at (0, -2)?
Which is the equation of the line with a slope of -\frac{1}{3} and a y-intercept at (0, -2)?
1
What is the equation of the line?
What is the equation of the line?
1
Graph the linear equation y = 2x + 6.
Graph the linear equation y = 2x + 6.
1
Graph the linear equation y=-\frac{4}{9}x+7.
Graph the linear equation y=-\frac{4}{9}x+7.
Angle pairs
1
If \angle f = x + 44 and \angle b = 2x - 17, then find the value of \angle f.
If \angle f = x + 44 and \angle b = 2x - 17, then find the value of \angle f.
1
If \angle e=84\degree, then find the value of \angle c.
If \angle e=84\degree, then find the value of \angle c.
1
Name the angle relationship for angles a and h.
Name the angle relationship for angles a and h.
1
Name the angle relationship for angles c and g.
Name the angle relationship for angles c and g.
Triangle angles
1
Find the measure of \angle x.
Find the measure of \angle x.
1
The measures of three angles of a triangle are (2x)\degree, (3x)\degree, and (x+60)\degree.
What is the value of x?
The measures of three angles of a triangle are
(2x)\degree, (3x)\degree, and (x+60)\degree.
What is the value of x?
1
Find the measure of \angle BCD.
Find the measure of \angle BCD.
1
Find the value of x.
Find the value of x.