2nd 9 weeks Midterm Version 2

1

Ms. Gregson noted resting heart rates after gym class. Which box plot models these data? Data: 78, 64, 74, 72, 79, 77, 66, 68, 81, 76, 69, 75, 67, 80, 70, 81, 71, 78, 73, 65

Choice A - Minimum: 64, 𝑄1 : 68.5, Median: 73.5, 𝑄3 : 78, Maximum: 81

Choice B - Minimum: 64, 𝑄1 : 69, Median: 74, 𝑄3 : 78.5, Maximum: 81

Choice C -Minimum: 64, 𝑄1: 70, Median: 73.5, 𝑄3: 77, Maximum: 81

Choice D - Minimum: 65, 𝑄1: 68.5, Median: 73, 𝑄3: 78, Maximum: 81

1

A function is defined by $f(x) = -4x + 6$. What is the average rate of change of the function on the interval from $x=-1$ to $x=3$?

-16

-4

4

16

1

The graph of a function y = 2x + 1 is shown. What is the average rate of change from $x=2$ to $x=5$? (Refer to the line graph below.)

1

2

3

4

1

Mr. Ramirez writes the equation $9x - 6y = 30$. He asks four students to solve for y. Which student's answer is correct?

y = $ \frac{3}{2}x - 5$

y = $ \frac{3}{2}x + 5$

y = $ \frac{3}{2}x - 10$

y = $ \frac{3}{2}x + 10$

1

Mrs. Robinson's table shows students’ test scores categorized by gender and score ranges:
85 and above
below 85
totals
boys
9
15
24
girls
6
20
26
totals
15
35
50
What percent of students who scored 85 or above are boys?

	85 and above	below 85	totals
boys	9	15	24
girls	6	20	26
totals	15	35	50

60%

40%

30%

75%

1

Two box plots show scores for Group 1 and Group 2 on a quiz. Which statement is correct? (Refer to the box plots below.)

The range of Group 1 is greater than the range of Group 2.

The median of Group 1 is greater than the median of Group 2.

The mean of Group 1 is greater than the mean of Group 2.

The interquartile range of Group 1 is greater than that of Group 2.

1

Consider the linear graph shown below (y = −1.5x + 2). Which statements are true? Select ALL that apply.

The graph has a maximum value at (3,10).

The graph has a minimum value at (-10,-17).

The graph has an x-intercept at $(\frac{4}{3},0)$.

The graph has an x-intercept at $(-\frac{4}{3},0)$.

The graph has a y-intercept at (0,2).

The graph has a y-intercept at (0,-2).

1

A crane lifts materials at a constant rate. The height after t seconds is modeled by h(t) = 5t + 2. Which statement is true?

A. The crane lifts at 2 ft/s and initial height is 5 ft.

B. The crane lifts at 5 ft/s and initial height is 2 ft.

C. The crane lifts at 2 ft/s and initial height is −5 ft.

D. The crane lifts at 5 ft/s and initial height is −2 ft.

1

A student works through:
6(x + 3) - 4(2x + 1) = 0
6x + 18 - 8x - 4 = 0
-2x + 14 = 0
Which could be the next correct step and why?

Add 2x to both sides to get $14 = 0$

Add 2x to both sides to get $0 = 2x + 14$.

Subtract 14 from both sides to get $-2x = -14$.

Subtract 14 from both sides to get $2x = 14$.

1

A student's table shows steps solving $4(x + 1) - 3(2 - x) = 10$.
STEP
EQUATION
GIVEN
4(x + 1) - 3(2 - x) = 10
STEP 1
4x + 4 - 3(2 - x) = 10
STEP 2
4x + 4 - 6 - 3x = 10
STEP 3
x - 2 = 10
STEP 4
x = 12
Which statement about the student's algebraic steps is correct?

STEP	EQUATION
GIVEN	4(x + 1) - 3(2 - x) = 10
STEP 1	4x + 4 - 3(2 - x) = 10
STEP 2	4x + 4 - 6 - 3x = 10
STEP 3	x - 2 = 10
STEP 4	x = 12

Error distributing between the Given and Step 1.

Error distributing between Step 1 and Step 2.

Error combining like terms between Step 2 and Step 3.

Error adding in the final step.

1

The expression $120 - 15m$ represents the dollars left on a gift card after attending m classes costing $15 each. Which statement is true?

120 is initial amount; -15m is deduction per class.

120 is initial amount; -15m is addition per class.

-15m is initial amount; 120 is deduction.

Both are constants with no context.

1

The expression $0.75(x-20)$ represents the total paid after a store discount and a coupon, where x is the original price. What does the -20 represent?

Total amount paid after discounts.

Original cost.

Amount reduced after store discount

A fixed dollar coupon subtracted before percentage discount.

1

Which expression represents the area of a triangle with base (2x+3) and height (5x+4)? (Area = $\frac{1}{2}$ $\times$ base $\times$ height.)

$(2x+3)(5x+4)$

$\frac{1}{2}(2x+3)(5x+4)$

$(x+3)(5x+4)$

$(2x+3)(\frac{5}{2}x+4)$

1

Which expressions are equivalent to $36x^2 - 25$? Select ALL that apply.

1

A customer orders b burgers at $7 each and f fries at $3 each for a total of $128. Which equation represents the total cost?

b + f = 128

7b + 3f = 128

7b + f = 128

b + 3f = 128

1

Which coordinate does not represent a solution to the equation y = 2x - 5, and why?

(-1,-7) because -7 = 2(-1)-5.

(0,0) because 0 = 2(0)-5.

(2,-1) because -1 = 2(2)-5.

(3,1) because 1=2(3)-5.

1

An equation is graphed on the coordinate plane. The line passes through the origin and the point (2,6). Which equation matches the graph?

$y = 3x$

$y = 3x + 1$

$y = \frac{1}{3}x$

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

1

A relation is defined by coordinates: {(-4,-4), (-2,-6), (0,0), (0,2), (2,2), (4,6), (6,6)}. Removing which coordinate will make the relation a function?

(-4,-4)

(0,0)

(2,2)

(4,6)

1

Which of the following graphs correctly sketches the equation
y=(x−1)(x+4)
and clearly labels its x-intercepts?

null

1

The graph of the function f(x) models the liters of fuel, in hundreds, remaining in a fuel tanker x minutes after it begins refilling buses.
What is the most reasonable domain for the graph of the function?

A. 0 ≤ x ≤ 50

B. −10 ≤ x ≤ 60

C. 0 ≤ x ≤ 120

D. −30 ≤ x ≤ 30

2nd 9 weeks Midterm Version 2

Ms. Gregson noted resting heart rates after gym class. Which box plot models these data? Data: 78, 64, 74, 72, 79, 77, 66, 68, 81, 76, 69, 75, 67, 80, 70, 81, 71, 78, 73, 65

A function is defined by $f(x) = -4x + 6$. What is the average rate of change of the function on the interval from $x=-1$ to $x=3$?

The graph of a function y = 2x + 1 is shown. What is the average rate of change from $x=2$ to $x=5$? (Refer to the line graph below.)

Mr. Ramirez writes the equation $9x - 6y = 30$. He asks four students to solve for y. Which student's answer is correct?

Mrs. Robinson's table shows students’ test scores categorized by gender and score ranges:85 and abovebelow 85totalsboys91524girls62026totals153550What percent of students who scored 85 or above are boys?

Two box plots show scores for Group 1 and Group 2 on a quiz. Which statement is correct? (Refer to the box plots below.)

Consider the linear graph shown below (y = −1.5x + 2). Which statements are true? Select ALL that apply.

A crane lifts materials at a constant rate. The height after t seconds is modeled by h(t) = 5t + 2. Which statement is true?

A student works through: 6(x + 3) - 4(2x + 1) = 06x + 18 - 8x - 4 = 0-2x + 14 = 0 Which could be the next correct step and why?

A student's table shows steps solving $4(x + 1) - 3(2 - x) = 10$. STEP EQUATIONGIVEN4(x + 1) - 3(2 - x) = 10STEP 14x + 4 - 3(2 - x) = 10STEP 24x + 4 - 6 - 3x = 10STEP 3x - 2 = 10STEP 4x = 12Which statement about the student's algebraic steps is correct?

The expression $120 - 15m$ represents the dollars left on a gift card after attending m classes costing $15 each. Which statement is true?

The expression $0.75(x-20)$ represents the total paid after a store discount and a coupon, where x is the original price. What does the -20 represent?

Which expression represents the area of a triangle with base (2x+3) and height (5x+4)? (Area = $\frac{1}{2}$ $\times$ base $\times$ height.)

Which expressions are equivalent to $36x^2 - 25$? Select ALL that apply.

A customer orders b burgers at $7 each and f fries at $3 each for a total of $128. Which equation represents the total cost?

Which coordinate does not represent a solution to the equation y = 2x - 5, and why?

An equation is graphed on the coordinate plane. The line passes through the origin and the point (2,6). Which equation matches the graph?

A relation is defined by coordinates: {(-4,-4), (-2,-6), (0,0), (0,2), (2,2), (4,6), (6,6)}. Removing which coordinate will make the relation a function?

Which of the following graphs correctly sketches the equationy=(x−1)(x+4) and clearly labels its x-intercepts?

The graph of the function f(x) models the liters of fuel, in hundreds, remaining in a fuel tanker x minutes after it begins refilling buses. What is the most reasonable domain for the graph of the function?

Ms. Gregson noted resting heart rates after gym class. Which box plot models these data? Data: 78, 64, 74, 72, 79, 77, 66, 68, 81, 76, 69, 75, 67, 80, 70, 81, 71, 78, 73, 65

A function is defined by $f(x) = -4x + 6$. What is the average rate of change of the function on the interval from $x=-1$ to $x=3$?

The graph of a function y = 2x + 1 is shown. What is the average rate of change from $x=2$ to $x=5$? (Refer to the line graph below.)

Mr. Ramirez writes the equation $9x - 6y = 30$. He asks four students to solve for y. Which student's answer is correct?

Mrs. Robinson's table shows students’ test scores categorized by gender and score ranges:85 and abovebelow 85totalsboys91524girls62026totals153550What percent of students who scored 85 or above are boys?

Two box plots show scores for Group 1 and Group 2 on a quiz. Which statement is correct? (Refer to the box plots below.)

Consider the linear graph shown below (y = −1.5x + 2). Which statements are true? Select ALL that apply.

A crane lifts materials at a constant rate. The height after t seconds is modeled by h(t) = 5t + 2. Which statement is true?

A student works through: 6(x + 3) - 4(2x + 1) = 06x + 18 - 8x - 4 = 0-2x + 14 = 0 Which could be the next correct step and why?

A student's table shows steps solving $4(x + 1) - 3(2 - x) = 10$. STEP EQUATIONGIVEN4(x + 1) - 3(2 - x) = 10STEP 14x + 4 - 3(2 - x) = 10STEP 24x + 4 - 6 - 3x = 10STEP 3x - 2 = 10STEP 4x = 12Which statement about the student's algebraic steps is correct?

The expression $120 - 15m$ represents the dollars left on a gift card after attending m classes costing $15 each. Which statement is true?

The expression $0.75(x-20)$ represents the total paid after a store discount and a coupon, where x is the original price. What does the -20 represent?

Which expression represents the area of a triangle with base (2x+3) and height (5x+4)? (Area = $\frac{1}{2}$ $\times$ base $\times$ height.)

Which expressions are equivalent to $36x^2 - 25$? Select ALL that apply.

A customer orders b burgers at $7 each and f fries at $3 each for a total of $128. Which equation represents the total cost?

Which coordinate does not represent a solution to the equation y = 2x - 5, and why?

An equation is graphed on the coordinate plane. The line passes through the origin and the point (2,6). Which equation matches the graph?

A relation is defined by coordinates: {(-4,-4), (-2,-6), (0,0), (0,2), (2,2), (4,6), (6,6)}. Removing which coordinate will make the relation a function?

Which of the following graphs correctly sketches the equationy=(x−1)(x+4) and clearly labels its x-intercepts?

The graph of the function f(x) models the liters of fuel, in hundreds, remaining in a fuel tanker x minutes after it begins refilling buses. What is the most reasonable domain for the graph of the function?

Mrs. Robinson's table shows students’ test scores categorized by gender and score ranges:
85 and above
below 85
totals
boys
9
15
24
girls
6
20
26
totals
15
35
50
What percent of students who scored 85 or above are boys?

A student works through:
6(x + 3) - 4(2x + 1) = 0
6x + 18 - 8x - 4 = 0
-2x + 14 = 0
Which could be the next correct step and why?

A student's table shows steps solving $4(x + 1) - 3(2 - x) = 10$.
STEP
EQUATION
GIVEN
4(x + 1) - 3(2 - x) = 10
STEP 1
4x + 4 - 3(2 - x) = 10
STEP 2
4x + 4 - 6 - 3x = 10
STEP 3
x - 2 = 10
STEP 4
x = 12
Which statement about the student's algebraic steps is correct?

Which of the following graphs correctly sketches the equation
y=(x−1)(x+4)
and clearly labels its x-intercepts?

The graph of the function f(x) models the liters of fuel, in hundreds, remaining in a fuel tanker x minutes after it begins refilling buses.
What is the most reasonable domain for the graph of the function?

Mrs. Robinson's table shows students’ test scores categorized by gender and score ranges:
85 and above
below 85
totals
boys
9
15
24
girls
6
20
26
totals
15
35
50
What percent of students who scored 85 or above are boys?

A student works through:
6(x + 3) - 4(2x + 1) = 0
6x + 18 - 8x - 4 = 0
-2x + 14 = 0
Which could be the next correct step and why?

A student's table shows steps solving $4(x + 1) - 3(2 - x) = 10$.
STEP
EQUATION
GIVEN
4(x + 1) - 3(2 - x) = 10
STEP 1
4x + 4 - 3(2 - x) = 10
STEP 2
4x + 4 - 6 - 3x = 10
STEP 3
x - 2 = 10
STEP 4
x = 12
Which statement about the student's algebraic steps is correct?

Which of the following graphs correctly sketches the equation
y=(x−1)(x+4)
and clearly labels its x-intercepts?

The graph of the function f(x) models the liters of fuel, in hundreds, remaining in a fuel tanker x minutes after it begins refilling buses.
What is the most reasonable domain for the graph of the function?