Math Unit 3 Test

n=-3.2

-1.4n + 2.1 = 6.58

F

-156/396 and -26/33 are equivalent fractions. T or F

n=-13 /6

-2n=4 1/3

-20 1/12

-8 3/4 plus -11 1/3

2/3

1/4 plus 5/12

13/15

1/5 plus 2/3

5/14

1/7 plus 3/14

x=3

2.14x - 12.18 = -5.76

n=-5

4n-2 3/4=-22 3/4

n=-0.2

5.7n + 4.1 = 2.96

multiply by -4 and flip the inequality symbol

: In order to solve the inequality -1/4 x > 8, which of the following steps must be done? divide by -4 and keep the inequality symbol divide by -4 and flip the inequality symbol multiply by -4 and keep the inequality symbol multiply by -4 and flip the inequality symbol

2 1/3 + c = 8 5/6

A box of chocolates contains 2 ounces of fruit crèmes, and the rest are caramels. If the box weighs 8 ounces, how many ounces of caramels are there? Which of the equations below could be used to solve the problem? 2 1/3 + c = 8 5/6 8 5/6 + c = 2 1/3 c - 8 5/6 = 2 1/3 2 1/3 - 8 5/6 = c

3 17/20 lb.

A gift basket has 2 pounds of cookies, 3/5 pound of fudge, and 1 1/4 pounds of nuts. What is the total weight of the items in the basket?

-7.8

A number is increased by 3.5, and the result is -4.3. Find the number. -7.8 -7.4 -7.1 -1.2

-2+7n/3n

Add -2/3n +7/3 .

-39/8y

Add -4/y +(-7/8y) .

f>5

Blake has more than five friends. Let f represent the number of Blake's friends. Which inequality describes the number of Blake's friends? f < 5 f > 5 f ≤ 5 f ≥ 5

124.63 cm^2

Calculate the area of the circle to the nearest hundredth of a square unit. Approximate pi as 3.14. https://ignitiumwa.ignitiaschools.com/media/g_mat08_ccss_2016/3/img_circlearea2.gif 124.63 cm2 19.78 cm2 124.6 cm2 39.56 cm2

x - 1/4 = -1/2 1/2 + x = 1/4 x -1/2 = -3/4

Choose all of the equations that have the solution x = - 1/4 x -1/2 =1/4 x - 1/4 = -1/2 x +1/2 = -1/4 1/2 + x = 1/4 x -1/2 = -3/4

270

Determine the least common denominator of 11/15 and 23/54

96

Determine the least common multiple of 12, 48, and 96.

112

Determine the least common multiple of 16, 28, and 56.

y > -10

Determine the solution set for the inequality statement? y/-2 + 4 < 9 y > -10 y < -10 y > -5/2 y < -5/2

12

Dylan is going to the fair and has $35. He is going to use $5 for food. The admission is $7, and rides are $1.85 each. How many rides can he go on? 16 25 12 3

$35 = $12 + $1.85x

Dylan is going to the fair and has $35. He is going to use $5 for food. The admission is $7, and rides are $1.85 each. Which of the following equations could you use to find how many rides Dylan can go on? $35 = $12 + $1.85x $35 = $1.85 + $12x $12 = $35 + $1.85x $1.85x = $47

6

Estimate the value of the irrational number (0.6289731...)2. Up to how many decimal digits is the estimation correct? 4 5 6 7

2ac^2

Find the GCF of 22ab^2 c^2 and 40a^3 c^2.

25

Find the GCF of 75, 100, and 175.

nt^2

Find the GCF of n^3 t^2 and nt^4.

n^3t^4

Find the LCM of n^3 t^2 and nt^4.

21 inches

Forensic scientists can determine the approximate height that a male person was by measuring the length of the femur (thigh bone). They use the formula: height = 1.88f + 32.01, where f is the length of the femur in inches. To the nearest inch, how many inches long is the femur of a male who is 71 inches tall? 20 inches 21 inches 165 inches 166 inches

$2.99

Haley is at the store buying some supplies for an art project. She decides to buy some colored pencils for $3.95 and a drawing tablet. The total cost of the supplies before sales tax is $6.94. What is the cost of the drawing tablet? $10.89 $2.99 $1.76 $3.01

$6.94 + x = $3.95

Haley is at the store buying some supplies for an art project. She decides to buy some colored pencils for $3.95 and a drawing tablet. The total cost of the supplies before sales tax is $6.94. Which equation could not be used to find the cost of the drawing tablet? $3.95 + x = $6.94 $6.94 + x = $3.95 x = $6.94 - $3.95 $6.94 - x = $3.95

7

Identify the coefficient in the term 7x2 y3. 7 2 3

greater than 4

If -1 2/3 is subtracted from 5 1/2, what will be the result? negative equal to 4 positive, but less than 4 greater than 4

3

If the following fraction is reduced, what will be the exponent on the p? -5p^5q^4/8p^2q^2

2

If the following fraction is reduced, what will be the exponent on the q? -5p^5q^4/8p^2q^2

-x<-y

If x < y, then all of the following are true except _____. -x < -y 2x < 2y x + 2 < y + 2 x/2< y/2

4

In the LCM of 3a^2 b^4 c^5 and 7a^4bc^2, what is the exponent on the b?

20

Mark gets paid $5.75 per hour. His pay is $115. How many hours did Mark work? 19 20 22 23

-2<x-Graph 4 x>2-Graph 2 x-2<0-Graph 5 2 ≤ x-Graph 3 x ≤ -2-Graph 1

Match the solution set of each of the following inequalities with its graph. -2<x x>2 x-2<0 2 ≤ x x ≤ -2 https://ignitiumwa.ignitiaschools.com/media/g_mat08_ccss_2016/3/img_number_line_inequality_10.gif-Graph 1 https://ignitiumwa.ignitiaschools.com/media/g_mat08_ccss_2016/3/img_number_line_inequality_8.gif-Graph 2 https://ignitiumwa.ignitiaschools.com/media/g_mat08_ccss_2016/3/img_number_line_inequality_9.gif-Graph 3 https://ignitiumwa.ignitiaschools.com/media/g_mat08_ccss_2016/3/img_number_line_inequality_11.gif-Graph 4 https://ignitiumwa.ignitiaschools.com/media/g_mat08_ccss_2016/3/img_number_line_inequality_12.gif-Graph 5

8 1/2 ÷ 5/6 = x

Morgan has an 8 1/2-foot board that must be cut into boards that are 5/6 feet long. How many of the smaller boards can he get from the 8 1/2-foot board? Which of the following equations could you use to solve the problem? 8 1/2x =5/6 x · 8 1/2 = 5/6 5/6· 8 1/2 = x 8 1/2 ÷ 5/6 = x

21 inches

Mrs. Smith has bolts of material that have lengths of 42, 63, and 105 inches. She needs to cut the fabric into equal length pieces with none left over. What is the greatest length of fabric pieces she can cut?

2^2 times 3^2

One number has a prime factorization of 2^3 · 3^2, and another number has a prime factorization of 2^2 · 3^3. Which of the following expressions would equal the greatest common factor of these two numbers?

-33,600

One-eighth of a number is -4,200. What is the number? -33,600 -37,800 -42,000 -42,800

It's already reduced

Reduce -34/87 to lowest terms.

4/5

Reduce -56/-70 to lowest terms.

-1/2ac^2

Reduce the following fraction: -32abc/64a^2bc^3

3yz^4/1x^2

Reduce the following fraction: -36x^4y^4z^5/-12x^6y^3z

0.07 • c = 1.26

Sales tax on a shirt is 0.07 times the cost of the shirt. The sales tax for a shirt is $1.26. Which equation could you use to find the cost, c, of the shirt before sales tax? 0.07 • c = 1.26 0.07 • 1.26 = c 0.07 ÷ c = 1.26 0.07 ÷ 1.26 = c

7/8 cup

Sally needs 2 1/4 cups of flour to make her cake. She has 1 3/8 cups of flour. How much flour will she need to borrow to have enough to bake her cake?

S ≥ 15

Sara is at least 15-years old. Let S represent Sara's age. Which inequality describes Sara's age? S < 15 S > 15 S ≤ 15 S ≥ 15

23/45

Simplify -276/-540

-5

Solve -1 4/5 x = 9. 5 1/5 -5 -1/5

-2 2/5

Solve 1/3x = -4/5. 4/15 -4/15 -2 2/5 2 2/5

-4.86

Solve 5.4 =n/-0.9 . -4.86 -48.6 48.6 4.86

n=1.8

Solve the equation. Type just the numeral answer. Do NOT round your solution. n/1.5= -1.2

m=-120

Solve the equation. Type just the numeral answer. Do NOT round your solution. -0.06m = 7.2

b=-2.7

Solve the equation. Type just the numeral answer. Do NOT round your solution. -5 = b - 2.3

x=38.25

Solve the equation. Type just the numeral answer. Do NOT round your solution. x + 7.05 = 45.3

-1/6

Solve: m + 2/3 =1/2 . 1 1/6 1/6 -1 -1/6

$8.22h ≥ $623

Sophia is saving money for a new bicycle. The bicycle will cost at least $623. Sophia makes $8.22 per hour. Which inequality could be used find the number of hours Sophia needs to work to make enough money to buy a new bicycle? $8.22h > $623 $8.22h ≤ $623 $8.22h ≥ $623 $8.22h < $623

Express the fractions with a common denominator

Step 1 in Adding and Subtracting Unlike Fractions

Find the LCD

Step 2 in Adding and Subtracting Unlike Fractions

Add the numerators, but keep the denominators

Step 3 in Adding and Subtracting Unlike Fractions

Reduce

Step 4 in Adding and Subtracting Unlike Fractions

-1/36

Subtract -5/18 minus (-1/4)

18p-5/30

Subtract 3p/5 -1/6 .

70

The LCD of -3/14 and 1/10 is _____.

1155x^3y

The LCM of 165xy and 77x^3 y is _____.

38

The greatest common factor of 114 and 190 is _____.

6wy^2

The greatest common factor of 60w^5 y^3 and 78wy^2 is _____.

Three times a number minus two is more than 16.

The inequality 16 < 3x - 2 could represent which of the following problems? Three times a number minus two is at most 16. Three times a number minus two is at least 16. Three times a number minus two is more than 16. Three times a number minus two is less than 16.

$350 + 116x ≥ $698

The junior class has $350. The juniors want to raise at least $698 by having each member of the class pay dues. There are 116 juniors. Which of the following inequalities could be used to find how much each junior would need to pay in dues? $350 + 116x < $698 $350 + 116x ≤ $698 $350 + 116x > $698 $350 + 116x ≥ $698

360

The least common multiple of 20, 24, and 45 is _____.

12

The lowest common denominator of 1/2 ,1/3 , and 1/4 is:

x-7<-4

The number -2 is a solution to which of the following inequalities? -3x < 1 x - 7 < -4 -12/x > 10 x + 7 > 5

2^2 times 19

The prime factorization of 76 is _____.

n ≥ -5

The product of -2 and a number is at most 10. Find the possible numbers. n ≤ -5 n > -5 n < -5 n ≥ -5

1 7/20

The product of a number and - 2/3 is -9/10. What is the number? 3/5 1 7/20 20/27 29/30

b < 4,000

The public library has fewer than 4,000 books. Let b represent the number of books in the library. Which inequality describes the number of books? b < 4,000 b > 4,000 b ≤ 4,000 b ≥ 4,000

-3<x

The solution set for -18 < 5x - 3 is _____. -3 < x 3 < x -3 > x 3 > x

14 3/4

The sum 51 5/6 + (-37 1/12) is equal to what?

-11 1/2

Three-fourths was subtracted from a number, and then 5 1/4 was added to the result. The sum was -7. What was the original number? -3 1/2 3 1/2 -11 1/2 2 1/2

48

Tim is buying packages of paper plates and cups. He wants to have equal amounts of each, but plates come 24 per pack, and cups come 16 per pack. What is the least amount of plates and cups Tim will have to buy to get the same number of each?

5 weeks

Tracy is saving to buy a new guitar that costs $253.77 (including tax). Tracy has saved $136.27, and she can save $23.50 each week. How many more weeks will it take her to save enough money? 2 weeks 5 weeks 7 weeks 10 weeks

$136.27 + $23.50w = $253.77

Tracy is saving to buy a new guitar that costs $253.77 (including tax). Tracy has saved $136.27, and she can save $23.50 each week. Which equation could you use to find how long it will take to save for the guitar? $23.50w = $253.77 $253.77 - w = $136.27 + $23.50 $253.77 + $136.27 = $23.50w $136.27 + $23.50w = $253.77

5<square root of 33<6

Use a number line to approximate the value of the square root of 33 32<square root of 33<34 5<square root of 33<6 15<square root of 33<16 6<square root of 33<7

9<the square root of 88<10

Use a number line to approximate the value of the square root of 88. 87<the square root of 88<89 9<the square root of 88<10 50<the square root of 88<100 6<the square root of 88<7

11

What is the GCF of the numerator and denominator in the following fraction? -99/176

7mn

What is the GCF of the numerator and denominator in the following fraction? 21m^2n/28mn^2

15x

What is the LCD of -8/15x and -n/5?

12a

What is the LCD of 1/4a and 5/6a ?

3n

What is the LCD of the following fractions: -2/3n and 7/3 ?

add 2.431 to both sides of the equation

What is the first step in solving 3.17t - 2.431 =5 .06 ? divide both sides of the equation by 3.17 multiply both sides of the equation by 3.17 add 2.431 to both sides of the equation subtract 2.431 from both sides of the equation

subtract 2 2/7 from both sides of the equation

What is the first step in solving 5 1/2 = 2 2/7 + n/4 ? subtract 2 2/7 from both sides of the equation add 2 2/7 to both sides of the equation divide both sides of the equation by 4 multiply both sides of the equation by 4

divide both sides of the equation by 3

What is the last step in solving 7/8= 3x -5/11 ? subtract 5/11 from both sides of the equation add 5/11 to both sides of the equation divide both sides of the equation by 3 multiply both sides of the equation by 3

3^4 times m^2 times x^3

What is the prime factorization of 81m^2 x^3?

subtract 7, divide by -3, and flip the inequality symbol

What steps should be followed in order to solve the inequality statement? -3t + 7 ≥ 9 subtract 7, divide by -3, and flip the inequality symbol subtract 7, divide by -3, and keep the inequality symbol add 7, multiply by -3, and keep the inequality symbol add 7, multiply by -3, and flip the inequality symbol

add 8, multiply by 7, and keep the inequality symbol

What steps should be followed in order to solve the inequality statement? n/7 -8 < -11 add 8, divide by 7, and keep the inequality symbol add 8, divide by 7, and flip the inequality symbol add 8, multiply by 7, and keep the inequality symbol add 8, multiply by 7, and flip the inequality symbol

Subtract three, then multiply by seven.

What steps would you do to solve n/7 + 3 ≥ -4? Multiply by seven, then subtract three. Add three, then multiply by seven. Subtract three, then multiply by seven. Subtract three, then divide by seven.

7 1/2 + m = 4 2/3

Which of the following equations will have a negative solution? m - 4 2/3 = 7 1/2 m - 7 1/2 = 4 2/3 7 1/2 + m = 4 2/3 -7 1/2 + m = 4 2/3

All real numbers that are negative three or greater.

Which of the following expressions describes the solution set m ≥ -3? All real numbers that are negative three or greater. All real numbers that are greater than negative three. All real numbers that are negative three or less. All real numbers that are less than negative three.

x ≥ 5

Which of the following expressions represents the solution to -2x ≤ -10? x ≤ -5 x ≤ 5 x ≥ -5 x ≥ 5

x ≥ 7

Which of the following expressions represents the solution to the inequality statement? -x ≤ -7 x ≥ 7 x ≤ 7 x ≥ -7 x ≤ -7

Option 1

Which of the following graphs is the solution set of x + 7 > 3? https://ignitiumwa.ignitiaschools.com/media/g_mat08_ccss_2016/3/img_number_line_inequality_21.gif-Option 1 https://ignitiumwa.ignitiaschools.com/media/g_mat08_ccss_2016/3/img_number_line_inequality_11.gif-Option 2 https://ignitiumwa.ignitiaschools.com/media/g_mat08_ccss_2016/3/img_number_line_inequality_22.gif-Option 3 https://ignitiumwa.ignitiaschools.com/media/g_mat08_ccss_2016/3/img_number_line_inequality_23.gif-Option 4

4

Which of the following is a solution for 5 - 2x ≤ -3? -4 -1 1 4

t<-3

Which of the following is the solution set for -3t + 11 > 20? t > 3 t < 3 t > -3 t < -3

1 4 9 25 36 81 144 225 400

Which of the following number(s) is a perfect square(s)? Select all that apply. 1 2 4 5 9 11 25 36 45 81 144 225 400

divide the numerator and denominator by 16

Which of the following operations should be done in order to write the fraction 48/64 in lowest terms? divide the numerator and denominator by 8 multiply the numerator and denominator by 8 divide the numerator and denominator by 16 multiply the numerator and denominator by 16

Option 4

Which of the following shows the solution to m + 5 > -1? https://ignitiumwa.ignitiaschools.com/media/g_mat08_ccss_2016/3/img_number_line_inequality_13.gif-Option 1 https://ignitiumwa.ignitiaschools.com/media/g_mat08_ccss_2016/3/img_number_line_inequality_14.gif-Option 2 https://ignitiumwa.ignitiaschools.com/media/g_mat08_ccss_2016/3/img_number_line_inequality_15.gif-Option 3 https://ignitiumwa.ignitiaschools.com/media/g_mat08_ccss_2016/3/img_number_line_inequality_16.gif-Option 4

They are relatively prime

Which of the following statements is true about 63 and 20? They are relatively prime. They have more than one common factor. They each have a factor of 4. They are both prime numbers.

-5 0

Which of the following values is a solution for the inequality statement? Select all that apply. -5 ≤ -4r + 3 -5 0 3 4 7

55 -150 -78

Which of the following values is a solution for the inequality statement? Select all that apply. 11 > a/4 -16 55 -150 210 -78 108

division

Which operation will "undo" multiplication? addition subtraction multiplication division

addition

Which operation will "undo" subtraction? addition subtraction multiplication division

x > $52

Will wants to have more than $500 by the end of the summer. He already has $84, and he can work for 8 weeks over the summer. Will gets paid the same amount each week. Which of the following represents the amount of money he must earn each week? x ≥ $52 x > $52 x ≥ $63 x > $63

closed circle

a circle filled in to show that the point is a part of the solution set

open circle

a circle not filled in to show that the point is a border value and is not included as part of the solution set

improper fraction

a fraction with a numerator that is larger than or equal to the denominator

proper fraction

a fraction with a numerator that is less than the denominator

multiple

a number resulting from multiplying a given number by an integer

factor

a number that divides evenly into a given number

prime factor

a prime number that divides evenly into a given number

prime number

a whole number greater than one that has exactly two positive factors: one and itself

composite number

a whole number greater than one that has more than two positive factors

mixed number

consists of an integer and a proper fraction

equivalent fractions

fractions that may be expressed differently, but still have the same value

infinite

increasing or decreasing without end

n=-1.5

n/5=-0.3

n=-32

n/8+1/2=-3 1/2

inequality

sentence showing a relationship between numbers or expressions that are not necessarily equal; uses the symbols >, <, ≥, ≤, or ≠

denominator

the bottom part of a fraction; represents the whole

GCF

the largest number that divides evenly into two or more given numbers

LCD

the least common multiple of two or more denominators

LCM

the smallest multiple that two or more given numbers have in common

numerator

the top part of a fraction; represents part of the whole

solution

the value(s) of a variable that will make a mathematical statement true