NJSLA REVIEW MATH

INTEGER REVIEW:
NO CALCULATOR

Multiple Choice

2 - 4

• 2
• -8
• 6
• -2

Multiple Choice

-5 - (- 3)

• -8
• 8
• -2
• 15

Multiple Choice

6 - (-4)

• 10
• 2
• -2
• -10

Multiple Choice

-18 +(-6)

• 3
• -3
• -12
• -24

Multiple Choice

3 - (-8)

• 11
• -11
• 5
• -5

Multiple Choice

-32/8

• -4
• -5
• 4
• 24

Multiple Choice

-2 + (-5)

• -3
• 3
• -7
• 7

Multiple Choice

• -21 $$>$$ -17

• -21 $$\ge$$ -17

• -21 $$\le$$ -17

• -21 $$<$$ -17

Multiple Choice

• -9 $$<$$ -18

• -9 $$>$$ -18

• -9 $$\cong$$ -18

• -9 $$\le$$ -18

Multiple Choice

(-3)(-7)

• 4
• -4
• 21
• -21

Consecutive Integers Word Problems

Solving word problems that are consecutive, consecutive-even and consecutive-odd integer problems.

Poll

Have you ever heard of consecutive integers?

• Yes

• No

• Not sure

Multiple Choice

The sum of two consecutive integers is 41.

What are the two expressions?

• Let x = 1st consecutive integer

  Let x+1 = 2nd consecutive integer

• Let x = 1st consecutive integer

  Let x+2 = 2nd consecutive integer

Multiple Choice

The sum of two consecutive integers is 41. What is the correct equation to find the integers?

• $$x-x-2=41$$

• $$x+x+2=41$$

• $$x+x+1=41$$

Multiple Select

Three consecutive integers add up to 36. What is the smallest of the three integers?
Let x = 1st integer
x+1 = 2nd integer
x+2 = 3rd integer

Which is the correct equation?

• $$x+x+1+x+2=36$$  

• $$2x+3=36$$  

• $$3x+3=36$$  

Multiple Choice

At sunrise, the outside temperature was 1° below zero. By lunch time, the temperature rose by 17° and then fell by 4° by night. What was the temperature at the end of the day? 

• 14°
• 13°
• 12°
• 11°

Multiple Choice

Jose earned 50 points in a video game. He lost 40 points, earned 87 points, then lost 30 more points. What is his final score?

• 67
• 57
• 33
• 207

EQUATIONS: YOU MAY USE CALCULATORS FROM THIS POINT ON.

Multiple Choice

7 + g = 11

• g = 4

• g = -4

• g = 18

• g = -18

Multiple Choice

How do we solve -2k = -100?

• multiply by 2 on both sides

• divide by 2 on both sides

• add 100 to both sides

• divide by -2 on both sides

Multiple Choice

z/4 = -8

• z = -32

• z = 32

• z = 2

• z = -2

Multiple Choice

Solve for x:

• x = 20
• x = 7
• x = 10
• x = 3

Multiple Choice

Which equation has w = 8 as the solution?

• 8w= 64
• 16w = 240
• 16 - w = 9
• 4 + w = 10

Multiple Choice

Solve the equation:
20.5 = x + 4

• 16.5
• 16.05
• 24.5
• 24.05

Multiple Choice

-5 - 6a = -59

• a= 11

• a= -6

• a= 9

• a= 2

Multiple Choice

26 = 5a + 1

• a= 5 ⁴∕₅

• a= no solution

• a= 0

• a= 5

Multiple Choice

-3a + 8 = 14

• a= -2

• a= -7.5

• a= 2

• a= 6

Multiple Choice

6 - 3a = 21

• a= 9

• a= -9

• a= -5

• a= 5

Multiple Choice

Evaluate the expression:

$$6^2-4\div2$$  

• 4

• 34

• 16

• 10

Multiple Choice

Evaluate the expression.

$$\left(8-5\right)\cdot12+3^2$$  

• 54

• 42

• 63

• 45

Multiple Choice

Which student correctly used the order of operations while solving this problem?

RATIOS AND PROPORTIONS

Multiple Choice

Use the shapes in the picture to write the ratio of STARS to SQUARES.

• 3 to 2

• 2 to 4

• 4 to 2

• 3 to 4

Multiple Choice

Determine whether each pair of ratios forms a proportion

• Proportion

• Not a Proportion

Multiple Choice

Solve the proportion.

• k=5
• k=3.3333333
• k=60
• k=90

Multiple Choice

• 1
• 3

Multiple Choice

If I need 5 cups of flour to make 3 pies, how many pies can I make with 25 cups of flour?

• 30

• 15

• 25

• 5

Multiple Choice

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

• $8 per pound
• $5 per pound
• $35 per pound
• 0.125 pounds per dollar

Multiple Choice

Is this table proportional?

• Yes
• No

Multiple Choice

Proportional or Nonproportional?

• Proportional, Everytime I divide, I get the SAME answer

• Nonproportional - Everytime I divide, I get a DIFFERENT answer

Multiple Choice

Does the table show a proportional relationship?

• Yes

• No

Multiple Choice

Which statement best describes the relationship between paws and dogs in the table?

• Proportional
• Not Proportional

Multiple Choice

Does the table show a proportional relationship?

• Yes
• No

Multiple Choice

What is the constant of proportionality? (Unit rate)

• 2 swings / 1 day

• 0.5 swings / 1 day

• 4 swings / 1 day

• None of the above

Multiple Choice

The following graph is not proportional, why is that?

(Click the graph to enlarge the image.)

• We don't know what number it starts at.

• It does not pass through the origin.

• But it IS proportional!

Multiple Choice

You travel 150 miles on 5 gallons. What is the unit rate in miles per gallon?

• 15 miles per gallon

• 30 miles per gallon

• 3 miles per gallon

• 25 miles per gallon

Multiple Choice

What is the unit rate for the rain fall?

(Click on the graph to enlarge the image.)

• 2 cm per hour

• 1 cm per hour

• ¹/₂ cm per hour

• 4 cm per hour

Multiple Choice

Based on the graph, which of the following statements is NOT true?

• The graph represents a proportional relationship.

• 4 jars of jam requires 2 cups of sugar.

• 4 jars of jam requires 8 cups of sugar.

• The constant of proportionality for this graph is 1/2.

Multiple Choice

In which of these situations would the answer to the question be 0?

• Anthony jumped into a pool from a diving board that is 10 feet above the water. He sank 10 feet to the bottom and then swam up to the surface of the water. How far did he swim in total?

• A hiking trail begins at an elevation of -75 feet. The trail ends at an elevation of 75 feet. By how many feet does the elevation of the trail change from beginning to end?

• Kathy left her home and traveled 3 miles due east. She then walked 3 miles due west. At this point, how many miles is she from her home?

• The low temperature for Vineland was -7°F. The high temperature was 7°F. What was the difference between the high and low temperature?

Multiple Choice

Which of the following does NOT have a constant of proportionality of 3/2?

• y = 1.5x

• 3y = 2x

Multiple Choice

Two equations are shown:

Equation 1: -2x - 10 = 8

Equation 2: -2(x - 10) = 8

Which statement about the equations is true?

• x represents a negative value in both equations

• x represents a positive value in both equations

• x represents a negative value in one equation and a positive value in the other equation

• the value of x in the first equation is greater than the value of x in the second equation

Multiple Choice

A store owner paid $225 for a laptop. She marked up the price of the laptop by 60% to determine its selling price. What is the selling price?

• $135

• $90

• $360

• $315

Multiple Choice

What is the probability of spinning the spinner once and landing on a number greater than 2?

• 5/8

• 3/4

• 1/4

• 1

Multiple Choice

Which number is not the mean, median, mode, or range of the data set 4, 3, 15, 11, 3, 8, 7, 5?

• 3
• 7
• 12
• 11

Multiple Choice

What is the median?

• 62
• 58
• 66
• 60

Multiple Choice

$$Solve:\ \ -6\left(4x+6\right)>-108$$  

• x > 3

• x < 3

• x < -3

• x > -3