7th Grade Math Final Diagnostic Review

7th Grade Math Final Diagnostic Review

Multiple Choice

When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...

• Positive

• Negative

• Depends on which is bigger.

Multiple Choice

When multiplying or dividing a NEGATIVE and NEGATIVE number your result will be...

• POSITIVE
• NEGATIVE
• DEPENDS ON WHICH NUMBER IS LARGER.

Multiple Choice

Which of the following statements is true about |-5|?

• |-5| represents a negative number
• |-5| represents the distance from -5 to 0 on a number line
• |-5| represents the opposite of 5
• |-5| represents the negative distance from 5 to 0 on a number line

Multiple Choice

What is 5/6 as a decimal?

• 0.83
• 0.84
• 0.82
• 0.85

Multiple Choice

What is 4/7 as a decimal?

• 0.7
• 0.57
• 0.74
• 0.47

Multiple Choice

What is 20% written in decimal form?

• 2.0
• .2
• 20.
• .02

Multiple Choice

Find the sum:
2(x + 3) + 3(3x - 2)

• 11x
• 11x - 12
• 11x + 12
• 0

Multiple Choice

Find the difference:
(2x + 7) - 3(5x - 4)

• -13x - 5
• 17x + 5
• 17x + 5
• -13x + 19

Multiple Choice

Find the sum (−x + 8) + (−5x − 1).

• −6x + 7

• −4x + 7

• −6x + −8

• −6x + 8

Multiple Choice

(3x + 5) + (2x + 1) 

• 5x + 5
• 5x + 6
• x + 4
• 6x + 5

Multiple Choice

When you add opposites, what do you get?

• 0
• A negative number
• Attraction
• You cannot add opposites

Multiple Choice

2k + 12 = -4

• -8
• 8
• -10
• 4

Multiple Choice

-3a + 8 = 14

• a= -2
• a= -7.5
• a= 2
• a= 6

Multiple Choice

Solve:

 $7+\frac{a}{3}=5$  

•  $a=-2$  
  

•  $a=-6$  
  

•  $a=3$  
  

•  $a=15$  
  

Multiple Choice

What is the first step to solving the equation

 $13+\frac{x}{-10}=-3$  ?

• add 13 to both sides

• subtract 13 from both sides

• add 10 to both sides

• subtract 10 from both side

Multiple Choice

-4x + 14 ≤ 54

• x ≥ - 10
• x ≤ -10
• x ≥ 10
• x ≤ 10

Multiple Choice

2x + 3 ≤ 15

• x ≤ 6
• x ≥ -6
•  x ≤ 9
• x≤ -9

Multiple Choice

What inequality does the number line graph represent?

• x + 4 ≤ -1
• 2x - 3 < 7
• x - 1 ≤ 4
• 2x + 3 >13

Multiple Choice

"At most" and "No more than" are both clue words for...

• <
• >
• ≤
• ≥

Multiple Choice

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40
• 1.50x + 10 ≤ 40
• 1.50x + 10 <40
• 10x + 1.50 < 40

Multiple Choice

Which situation can be represented by the inequality

15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

Multiple Choice

Which of these describes the unit rate?

• a unit of measure
• a fraction with a numerator of one
• a fraction with a denominator of one
• a proportion

Multiple Choice

4) Find the unit price if it costs $3 for 8 cans of soda. Round to the nearest cent.

• $0.38 / 1 can

• $3.00/1 can

Multiple Choice

Which runs faster: a cheetah that can run 60 feet in 4 seconds or gazelle that can run 100 feet in 8 seconds?

• A cheetah at a unit rate of 14 ft per sec

• A gazelle at a unit rate of 12 ft per sec

• A cheetah at a unit rate of 15 ft per sec

• A gazelle at 12.5 ft per sec

Multiple Choice

Kidney beans $1.18 per lb.
or
Lima beans $2.13 for 2 lb.
Find the unit price of each and choose the better deal.

• Kidney beans
• Lima beans

Multiple Choice

There are 75 pieces of candy in a 15 oz bag.

How many pieces are there per ounce?

• 5 pieces

• 0.2 pieces

• 50 pieces

• 60 pieces

Multiple Choice

Which table shows a proportional relationship?

• A
• B
• C
• D

Multiple Choice

Is the graph proportional or non-proportional?

• Proportional
• Non-Proportional

Multiple Choice

Does this graph represent a proportional relationship?  

• No, because it doesn't pass through the origin.
• Yes, because it doesn't pass through the origin.
• Yes, because it intersects the y axis.
• No, because it intersects the x axis.

Multiple Choice

Write an equation for this situation.

• y=9.75x
• y=19x
• y=19.25x
• y=9.5x

Multiple Choice

Does this table represent a proportional relationship?

• Yes
• No

Multiple Select

Select all equations that represent proportional relationships.

Multiple Choice

What 2 things are required for a graph to be proportional?

• Must go through origin and can be a straight or curved line

• Must be a straight line but can go through any point

• Must be a straight line and go through the origin

• Does not have be a straight line and can go through any point

Multiple Choice

Proportional or Non-Proportional?

• Proportional

• Non-Proportional

Multiple Choice

A car travels 120 miles in 3 hours (with a constant speed).  How long will it take a car to travel 200 miles?

• 6 hours
• 5 hours
• 4 hours
• 1 hour

Multiple Choice

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?

• 2.5 cups milk
• 1.75 cups milk
• 2 cups flour
• 2.25 cups milk

Multiple Choice

3. SNACKS A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?

• 75 Pieces
• 27-ounces
• 27 pieces
• 75-ounces

Multiple Choice

What is the area of the shaded region?

• 4 cm²

• 16 cm²

• 8 cm²

• 12 cm²

Multiple Choice

What is the area of the composite figure?

• 40 sq cm
• 65 sq cm
• 52.5 sq cm
• 25 sq cm

Multiple Choice

What is the area of the shaded region?

• 20 sq cm
• 4 sq cm
• 30 sq cm
• 24 sq cm

Multiple Choice

The distance between two cities on a map is 4.125 inches.  Find the actual distance if the scale on the map is 2 inches = 40 miles.

• 165 miles
• 50 miles
• 82.5 miles
• 41.25 miles

Multiple Choice

Describe the cross section.

• trapezoid
• triangle
• rectangle
• square

Multiple Choice

What shape will the vertical cross-section of a cube be?

• Square
• Triangle
• Trapezoid
• Circle

Multiple Choice

What shape will the horizontal cross-section of a cone be?

• Dome
• Circle
• Pyramid
• Triangle

Multiple Choice

What shape will the vertical cross -section of a cylinder be?

• Circle
• Triangle
• Rectangle
• Ellipse

Multiple Choice

Megan drew a scale drawing of a house and its lot. The scale she used was 1 inch = 2 feet. The backyard is 78 feet long in real life. How long is the yard in the drawing?
____ = ____

• 39 inches
• 156 inches
• 38 inches
• 157 inches

Multiple Choice

The two rectangles are scale drawings. What is the measurement of x?

• 21
• 1.25
• 20
• 4

Multiple Choice

Amanda made a scale drawing of a square garden, which has a side length of 25 feet. She used the scale 2 inches = 5 feet.

What will be the area of the scale drawing?

• 10 in²
• 25 in²
• 100 in²
• 484 in²

Multiple Choice

Calculate the surface area of the pyramid.

• 228 m²

• 144 m²

• 300 m²

• 156 m²

Multiple Choice

What is the total surface area of the triangular prism shown? 

• 468 in²
• 540 in²
• 576 in²
• 700 in²

Multiple Choice

Find the Surface Area

• 556 cm²
• 278 cm²
• 680 cm²
• 340 cm²

Multiple Choice

Calculate the Volume

• 410 cm³

• 420 cm³

• 402 cm³

• 401 cm³

Multiple Choice

If my radius is 10ft, what is my diameter?

• 20ft
• 5ft
• 31.4ft
• 62.8ft

Multiple Choice

what is the circumference of this circle ?

• 3.14 cm

• 37.68 cm

• 24 cm

• 68.4 cm

Multiple Choice

What is the area of this circle?

• 82.13 m²

• 78.50 m²

• 314.16 m²

• 170.12 m²

Multiple Choice

Find the measure of the missing angle.

• 47
• 57
• 53
• 133

Multiple Choice

Can the following side measures form a triangle?

3, 5, 8

• Yes

• No

Multiple Choice

Can the following side measures form a triangle?

3, 5, 8

• Yes

• No

Multiple Choice

9% of 50

• 4.5
• 45
• .45
• .045

Multiple Choice

Caroline took a math test and got 19 out of 25 questions correct. What percent of the questions did she answer correctly?

• 76%

• 66%

• 24%

• 54%

Multiple Choice

Find the total cost of a $990 T.V. plus 9% sales tax.

• $ 89.10

• $ 900.90

• $ 1,079.10

• Free

Multiple Choice

A pair of boots are $94.99. They are 25% off. With this discount, what is the sale price? Round to the nearest cent.

• $71.24

• $118.74

• $119.99

• $23.75

Multiple Choice

A store buys each video game for a wholesale price of $32. The store marks up their items by 75%. Find the retail price of a video game.

• $60.00

• $56.00

• $24.00

• $8.00

Multiple Choice

A school surveys all 7th grade boys to determine what to sell in the school store. This sample is _________.

• Biased

• Unbiased

• Representative

• Peanut butter cups

Multiple Choice

A student wants to know which type of pizza the students at his high school prefer. Which option would give an unbiased, representative sample:

• Asking all the students in the hot lunch line.

• Asking 10 random students from each homeroom.

• Asking every other student who gets off a school bus.

• Asking all the 10th graders.

Multiple Choice

Harry collects data from a random sample of seventh-graders. Out of 25 respondents, 10 ride the bus to school. Out of 150 seventh-graders who attend Harry's school, how many would be expected to ride the bus to school?

• 40 seventh-graders

• 50 seventh-graders

• 60 seventh-graders

• 90 seventh-graders