Quiz about Illustrative Math Algebra Unit 6 Lesson 6

Question 1

What equation is equivalent to:

-5(3x + 9y)

Accepted Answer

-15x - 45y

Answer

-15x + 45y

Answer

15x - 45y

Answer

-15x + 9y

Question 2

Simplify the expression:

11w - 9 + 6w - 2

Accepted Answer

17w - 11

Answer

6w

Answer

5w - 11

Answer

17w - 7

Question 3

The baby goat weighed 42 pounds at birth. He gained weight at a steady rate for the first 4 months until his weight reached 95 pounds.

What equation represents this situation?

Accepted Answer

95 = 4w + 42

Answer

4w = 95

Answer

42 + w = 95

Answer

95 = 4 + 42

Question 4

What is the simplified expression for:

11w + 3 - 14w - 1 + x

Accepted Answer

-3w + 2 + x

Answer

25w - 2 + x

Answer

25w + 4 + x

Answer

-3w + 4 + x

Question 5

Like terms are

Accepted Answer

numbers or same variable raised to the same power

Answer

equal numbers

Answer

only unknown values

Question 6

One difference between equations and expressions would be...

Accepted Answer

equations have an equals because they show two equal expressions. Expresions have terms and operations.

Answer

you solve both of them using inverse operations.

Answer

you flip the symbol when you multiply or divide by a negative

Question 7

When solving an inequality, what is the main things that are different from solving equations.

Accepted Answer

Bring down the inequality symbol and FLIP the symbol  when you multiply or divide by a negative.

Answer

Draw the line

Answer

Use inverse operations to solve.

Question 8

When solving an inequality, what are the main things that are different from solving equations.

Accepted Answer

Bring down the inequality symbol and FLIP the symbol  when you multiply or divide by a negative.

Answer

Draw the line

Answer

Use inverse operations to solve.

Question 9

Choose an expression that is equivalent to the following
6n + 2(3 - 5n)

Accepted Answer

6 - 4n

Answer

n + 6

Answer

16n + 6

Question 10

Choose the first step in solving the following equation.
-3y - 12 = 14

Accepted Answer

add 12 to both sides

Answer

add 3 from both sides

Answer

subtract 12 from both sides

Question 11

0.1( x - 20 ) > 2

Accepted Answer

x > 40

Answer

x < 40

Answer

x > 220

Question 12

Given an equilateral triangle with a side length of 4 + 2y. Find the perimeter.

Accepted Answer

3(4 + 2y)

Answer

(4 + 2y)/ 3

Answer

4/3  +2y/3

Question 13

The perimeter of an equilateral triangle is 18y - 6.  What is the length of one side of the triangle?

Accepted Answer

6y - 2

Answer

54y -18

Answer

3(18y -6)

Question 14

Question 14.

Accepted Answer

-9m + 36

Answer

-3m + 36

Answer

3m + 36

Question 15

Fred Flintstone bought seven boxes to put with his collection of boxes. A week later half the boxes were ruined in the rain. There are now only 22 boxes left. With how many did he start? (Select the correct equation)

Accepted Answer

(x + 7)/2  = 22

Answer

x/2 + 7 = 22

Answer

x + 7/2 = 22

Question 16

Which expression is equivalent to (s - 12) / 2

Accepted Answer

s/2 - 6

Answer

s/2 -12

Answer

s - 6

Question 17

What does this symbol mean?

Accepted Answer

at most

Answer

at least

Answer

less than

Question 18

-12x > 36

Accepted Answer

x < -3

Answer

x > -3

Answer

x > 48

Question 19

Simplify - ( - 12y + 8)

Accepted Answer

12y - 8

Answer

12y + 8

Answer

-12y - 8

Question 20

Choose the equivalent expression.

15 + 4(5y + 10)

Accepted Answer

20y + 55

Answer

5y + 25

Answer

20y - 25

Answer

20y + 40

Question 21

a number more than 12

Accepted Answer

12 + n

Answer

n / 12

Answer

12n

Answer

12 - n

Question 22

Question 22.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 23

Pick the correct letter for:

6 > x

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 24

What step would I do second?

(4 - 2)9 + 7 =

Accepted Answer

multiplication

Answer

subtraction

Answer

addition

Answer

dividing

Question 25

Is the following item an expression, equation, or inequality.
13 + 6

Accepted Answer

Expression

Answer

Equation

Answer

Inequality

Question 26

Evaluate the given expression when

a = 4 and b = 5

2a + 6b

Accepted Answer

38

Answer

34

Answer

19

Answer

89

Question 27

Which of the following expressions is equivalent to 5(3 + x)

Accepted Answer

15 + 5x

Answer

8 + x

Answer

8 + 5x

Answer

15 + x

Question 28

Solve the following inequality.

x + 9 < 53

Accepted Answer

x < 44

Answer

x < 62

Answer

x > 62

Answer

x > 44

Question 29

$$\le$$ Solve the following inequality.

$$\frac{1}{2}x$$ $$\le$$ - 9

Accepted Answer

x $$\le$$ -18

Answer

x $$\ge$$ -18

Answer

x $$\ge$$ -7

Answer

x $$\le$$ -7

Question 30

Factor 12x - 20

Accepted Answer

4(3x - 5)

Answer

6(2x - 3)

Answer

4x(3x - 5)

Answer

3(4x + 6)

Question 31

Factor:
4x + 30y

Accepted Answer

2(2x + 15y)

Answer

2(x + 15y)

Answer

4(x + 15y)

Answer

can't be factored

Question 32

WRITE AN EQUATION

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

Accepted Answer

6x+7=331

Answer

7x+6=331

Answer

13x=331

Answer

331-7=6x

Question 33

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

Accepted Answer

7x+ 10=24

Answer

24-10=7x

Answer

7x- 24=10

Answer

10+x=14

Question 34

Solve the inequality:  -3x + 4 > -2

Accepted Answer

x < 2

Answer

x < -1

Answer

x > -1

Answer

x > 2

Question 35

Steven has 5 more x-box games than Devin.  Devin's number of x-box games can be represented by n.  Which expression can show the number of games Steven has?

Accepted Answer

n + 5

Answer

5n

Answer

5 - n

Answer

n - 5

Question 36

Like terms are

Accepted Answer

numbers or same variable raised to the same power

Answer

equal numbers

Answer

only unknown values

Question 37

Which number line shows all the values of x that makes the inequality true?

Accepted Answer

d

Answer

a

Answer

b

Answer

c

Question 38

-6k + 7k=

Accepted Answer

k

Answer

-k

Answer

12k

Answer

-12k

Question 39

n -10 +9n -3=

Accepted Answer

10n -13

Answer

-3

Answer

9n-3

Answer

n

Question 40

Factor: 5x - 35

Accepted Answer

5(x - 7)

Answer

5(x + 7)

Answer

(x - 7)

Answer

(x + 7)

Question 41

Simplify the expression:
6 + 2(7x - 3)

Accepted Answer

14x

Answer

12 + 7x

Answer

14x + 3

Answer

9 + 7x

Question 42

If y=10,find the value of 3+y =

Accepted Answer

13

Answer

-13

Question 43

6 - 3a = 21

Accepted Answer

a= -5

Answer

a= 9

Answer

a= -9

Answer

a= 5

Question 44

Jared made sixty dollars mowing lawns over the summer. If he spent thirty-nine dollars buying new mower blades, how many seven dollar games could he buy with the money he had left?

Accepted Answer

3 games

Answer

21 games

Answer

7 games

Answer

99 games

Question 45

Simplify the expression:
8(5 + w)

Accepted Answer

40+8w

Answer

40 + w

Answer

85 + 8w

Answer

13+8w

Question 46

(7a + 4) - (9a + 2)

Accepted Answer

-2a + 2

Answer

-2a + 6

Answer

2a + 6

Answer

2a + 2

Question 47

Select all the equations where x=3 is a solution. (3 total)

Accepted Answer

x2 = 9

Accepted Answer

6 = 2x

Accepted Answer

x - 3 = 0

Answer

1 + x = 2

Answer

9 - x = 3

Question 48

Which expression is equivalent to 20c - 8d

Accepted Answer

4(5c - 2d)

Answer

2(10c + 4d)

Answer

4(5c - 8d)

Answer

c(20 - 8d)

Question 49

A symbol, often a letter, representing a quantity in an expression or mathematical equation.

Accepted Answer

variable

Answer

reciprocal

Answer

expression

Answer

coefficient

Question 50

Which equation describes the table?

Accepted Answer

y = 4x

Answer

y = 1/4x

Answer

y = 4 - x

Answer

y = 4 + x

Question 51

What is the missing value in the table?

Accepted Answer

11

Answer

24

Answer

8

Answer

9

Question 52

What is the missing value?

Accepted Answer

16

Answer

12

Answer

20

Answer

26

Question 53

Which equation matches the table?

Accepted Answer

c = 6h

Answer

c = 2h

Answer

c = 10h

Answer

c = 12h

Question 54

Which equation describes the table shown:

Accepted Answer

y = 1x + 2

Answer

y = 1x - 2

Answer

y = 2x + 1

Answer

y = -2x + 2

Question 55

b > 32
Which value for "b" would make the inequality true?

Accepted Answer

61

Answer

32

Answer

19

Answer

27

Question 56

4x = 16

Accepted Answer

Equation

Answer

Expression

Answer

Inequality

Question 57

2p + 12 > 30

Accepted Answer

Inequality

Answer

Expression

Answer

Equation

Question 58

6m + 13 - 5y

Accepted Answer

Expression

Answer

Equation

Answer

Inequality

Question 59

Simplify by combining like terms:
5a + 2b - 3a + 4

Accepted Answer

2a + 2b + 4

Answer

8a + 2b + 4

Answer

8ab

Answer

4ab + 4

Question 60

3x-5x

Accepted Answer

-2x

Answer

2x

Answer

8x

Answer

15x2

Question 61

Simplify the expression:
n -10 +9n -3

Accepted Answer

10n -13

Answer

-3

Answer

9n-3

Answer

n

Question 62

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

Accepted Answer

3x, -9x

Answer

7, 24y

Answer

3x, 9x

Answer

3x, -9x, 2x²

Question 63

Simplify the expression: 7v + 2 + 12 + 2v

Accepted Answer

9v + 14

Answer

23

Answer

23v

Answer

9 + 14v

Question 64

a + a + a + a

Accepted Answer

4a

Answer

a + 4

Answer

a to the fourth power

Answer

4a + 4

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