Algebra I - September Review

Algebra I
September Review

Translating Verbal and Algebraic Expressions

Multiple Choice

The word "of" represents what operation?

• Addition
• Subtraction
• Multiplication
• Division

Multiple Choice

A number increased by five 

• 5n
• n + 5
• 5 - n
• 5/n

Multiple Choice

Which of the following is not a word that means "equals"?

• Is
• Gives
• Totals
• Shared

Multiple Choice

The product of four and a number  

• 4n
• 4 + n
• 4 - n
• 4/n

Multiple Choice

Which of the following expressions would need parenthesis?

• 4 times the difference of a number and 8
• 4 times a number
• Five times a number increased by 7
• 15 less than a number multiplied by 12

Multiple Choice

Which of the following is a division word?

• Quotient
• Shared
• Ratio
• All of the above

Multiple Choice

Mr. Zamora has a lot of Bulldog Bucks.  He will give an equal amount to each of his 8 groups. 

• 8 + n
• 8n
• 8-n
• 8/n

Multiple Choice

Eight less than three times a number is best represented by:

• 3(x-8)
• 3x - 8
• 8 - 3x

Multiple Choice

There are 8 groups in Mr Zamora’s class.  He will give each group n Bulldog Bucks. 

• 8 + n
• 8n
• 8-n
• 8/n

Multiple Choice

Verbal expressions are the same as algebraic expressions, but they are just written using words.

• True
• False

Multiple Choice

Write an algebraic expression for:
three times a number plus 16

• 3(16)+n
• 16n+3
• 3n+16

Multiple Choice

Shara read n books. Jack has read 8 more books than Shara.

• 8 + n
• 8n
• 8-n
• 8/n

Multiple Choice

Write an algebraic expression for:
 35 decreased by a number

• 35+n
• 35-n
• n-35

Multiple Choice

Jackson weighs 8 pounds less than he did last year.

• n + 8
• 8n
• n-8
• 8/n

Multiple Choice

Write a verbal expression for:
4q

• Four q
• Four times q
• Four plus q

Multiple Choice

the quotient of a number and eight

• 8n
• 8 + n
• 8 - n
• 8/n

Multiple Choice

Write a verbal expression for:
2a+6

• 6 more than the product of 2 times a
• 6 less than the product of 2 times a
• 6 more than the quotient of 2 and a

Multiple Choice

The sum of a number and ten

• 10n
• n + 10
• n - 10
• 10/n

Evaluating Expressions

Don't forget you cannot use x, y or z. Change these variable to a, b, or c.

Multiple Choice

What is the value of the expression

x² + y² + x - y

when x = -1 and y = 3

• 6

• 8

• 12

• 16

Multiple Choice

evaluate bc + 5a

when a = 3, b = 4, and c = -6

• 9

• 38

• -38

• -9

Multiple Choice

Evaluate g² - 3(h - g)

if g = 3 and h = -2

• 6

• 9

• 24

• 5

Multiple Choice

Evaluate 9a - ab + 5b

if a = 2 and b = 7

• 37

• 67

• 39

• 32

Multiple Choice

Evaluate 2x + 5(y - 1)

when x = 8 and y = 5

• 20

• 31

• 36

• -4

Multiple Choice

Evaluate 3(2x + z)

when x = 8 and z = 2

• 12

• 30

• 54

• 60

Multiple Choice

Evaluate 6 + 7b - 3a

if a = 2 and b = 8

• -100

• 100

• -56

• 56

Multiple Choice

Evaluate the expression

• -45

• 51

• 27

• -21

Multiple Choice

Evaluate the expression

• 13

• 17

• 37

• 6

Multiple Choice

Evaluate the expression

• 2

• -2

• 24

• -20

Multiple Choice

Evaluate the expression

• 14

• 8

• 7

• 112

Multiple Choice

Evaluate the expression

• -19

• -1

• -31

• 3

Multiple Choice

Evaluate the expression

• 10

• -180

• 88

• -28

Multiple Choice

Evaluate the expression

• -12

• 20

• 0

• 5

Multiple Choice

Evaluate the expression

• 1/2

• 1 1/2

• -1/6

• 1

Properties

-8 x 0 = 0

Vocabulary

Multiple Choice

5+1 = 1+5

• Commutative Property of Addition

• Associative Property of Addition

• Inverse Property of Addition

• Distributive Property

Multiple Choice

(5•2) • 4 = 5 • (2•4)

• Commutative Property of Multiplication

• Associative Property of Multiplication

• Transitive Property

• Symmetric Property

Multiple Choice

9 + 0 = 9

• Reflexive Property

• Distributive Property

• Identity Property of Addition

• Inverse Property of Addition

Multiple Choice

12 • 1/12 = 1

• Identity Property of Multiplication

• Associative Property of Multiplication

• Commutative Property of Multiplication

• Inverse Property of Multiplication

Multiple Choice

$$\pi$$  • 0 = 0

• Property of Zero

• Distributive Property

• Reflexive Property

• Symmetric Property

Multiple Choice

-3(a+c) = -3a-3c

• Transitive Property

• Distributive Property

• Symmetric Property

• Commutative Property of Multiplication

Multiple Choice

t = t

• Substitution Property

• Transitive Property

• Reflexive Property

• Symmetric Property

Multiple Choice

4x+3 = 15 , 15 = 4x+3

• Transitive Property

• Substitution Property

• Reflexive Property

• Symmetric Property

Multiple Choice

If x+y = 4 and 4 = 3+1, then x+y = 3+1

• Transitive Property

• Reflexive Property

• Symmetric Property

• Substitution Property

Multiple Choice

(x•y) • z = z • (x•y)

• Associative Property of Multiplication

• Commutative Property of Multiplication

• Multiplicative Inverse Property

• Identity Property of Multiplication

Multiple Choice

a² + (b² + c²) = (a² + b²) + c²

• Commutative Property of Addition

• Zero Property

• Associative Property of Addition

• Identity Property of Addition

Multiple Choice

1 • g³ = g³

• Inverse Property of Multiplication

• Zero Property

• Transitive Property

• Identity Property of Multiplication

Multiple Choice

-x + x = 0

• Additive Inverse Property

• Identity Property of Addition

• Commutative Property of Multiplication

• Associative Property of Addition

Multiple Choice

(x + y) • 0 = 0

• Substitution Property

• Distributive Property

• Zero Property

• Inverse Property of Multiplication

Multiple Choice

3m(m + 4n - 6g) = 3m² + 12mn - 18mg

• Transitive Property

• Commutative Property of Multiplication

• Associative Property of Multiplication

• Distributive Property

Multiple Choice

xyz = xyz

• Symmetric Property

• Reflexive Property

• Substitution Property

• Transitive Property

Multiple Choice

q + p = 0 , 0 = q + p

• Transitive Property

• Reflexive Property

• Symmetric Property

• Substitution Property

Multiple Choice

If s = d - 1 and d - 1 = -12, then s = -12

• Transitive Property

• Symmetric Property

• Multiplicative Inverse Property

• Reflexive Property

Multiple Choice

If 2x + 4 = 10 and x = 3, then 2(3)+4=10

• Symmetric Property

• Substitution Property

• Transitive Property

• Distributive Property

Multiple Choice

xyz • 1/xyz = 1

• Inverse Property of Addition

• Identity Property of Multiplication

• Zero Property

• Multiplicative Inverse Property

Multi-Step Equations

Don't forget you can only graph with the variable x. If the equation has a different variable change it to x.

Types of
Solutions

Types of Solutions

One solution (x = 5)

Infinitely many solutions (5 = 5)

No solutions (5 = 4)

Types of Solutions (Graphs)

One Solution

No Solution

Infinitely Many Solutions

What to do if you cannot find your answer.

1)

Zoom out as much as possible to double check your answer is not a large/small
number off the graph

2)

If you do not find one, put the left side of the equal sign in one box and put the
right side of the equal sign in the other box. Example: 4x - 5 = 2x + 6 + 2x

3)

Match your graph to one of the graphs
we just went over

Multiple Choice

2x - 3 + 4x = 27

• 12
• 4
• 5
• 15

Multiple Choice

8v - 4(v + 8) = 8

• 2
• 10
• 4
• -4 

Multiple Choice

$$5x-4=4x$$  

• 4

• -2

• -6

• -4

Multiple Choice

27-3x= 3x +27

• 9

• -9

• 0

• -1

Multiple Choice

3x + 2(4x - 4) = 3

• 4
• 3
• 2
• 1

Multiple Choice

$$\frac{4x+6}{2}=\frac{3x-15}{3}$$  

• -2

• 4

• 8

• -8

Multiple Choice

2x + 3(5x - 7) = 47

• x = 1
• x = 2
• x = 3
• x = 4

Multiple Choice

$$\frac{q+1}{2}=\frac{q-1}{3}$$  

• 5

• -1

• -5

• 1

Multiple Choice

38 + 7k = 8(k + 4)

• 6
• 8
• -6
• 1

Multiple Choice

When Nicky tried to solve and equation using properties of equality, she ended up wit the equation -3=-3. What equation might she have tried to solve? What is the solution to the equation?

• The solution is -3

• There are no solutions

• There are infinitely many solutions

Multiple Choice

4(-8x + 5) = -32x - 26

• 54
• -54
• all real numbers
• no solution

Multiple Choice

$$\frac{9x}{15}+27=\frac{9x}{15}+\frac{27}{15}$$  

• no solutions

• infinite soulutions

• one solutions

• 0

Multiple Choice

$$3\left(\frac{x}{2}+16\right)-16=\frac{3}{2}x$$  

• infinite solutions

• no solutions

• 0

• one solution

Multiple Choice

$$-5\left(\frac{x}{15}-16\right)-30=50-\frac{1}{3}x$$  

• no solution

• one solution

• infinite solutions

• 0

Multiple Choice

A red balloon is 40 feet above the ground and rising at 2ft/second. At the same time, a blue balloon is 60 feet about the ground and descending at 3ft/second. What will the height of the balloons be when they are the same height above the ground?

• 56 ft

• 48 ft

• 72 ft

• 26 ft

Multiple Choice

$$7x=8x+12$$  

• -16

• 14

• -12

• 11