Algebra I: Semester 1 Exam

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-4____2: <,>, or =?

Conditional

-4x = -16: conditional, contradiction, or identity?

Conditional

2x = -8: conditional, contradiction, or identity?

Identity

5 = 5: conditional, contradiction, or identity?

Contradiction

6 = 30: conditional, contradiction, or identity?

$7.99x

Elijah bought x pizzas at $7.99 each. What expression correctly represents the cost of x pizzas 🍕?

18yz, 10yz, 6yz, etc.

Give an example of a like term of -4yz.

1/4x

How do you translate "one-fourth of a number"?

1

How many terms are in 3xy /7x?

3

How many terms are in 4x - 2y - 3z?

Quadrant II

In which quadrant would you find (-3, 2)?

Quadrant III

In which quadrant would you find (-7,-2)?

Irrational

Is the square root of 23 rational or irrational?

Vertical

Is x = 4 a vertical or horizontal line?

Horizontal

Is y = 4 a vertical or horizontal line?

x + 4

Jim worked x hours. Paul worked 4 more hours than Jim. What expression correctly represents the hours Paul worked?

Perpendicular

Parallel or perpendicular: y = -2/3x + 2 and y = 3/2x - 3?

Parallel

Parallel or perpendicular: y = -2x + 4 and y = -2x +11?

y + x

Rewrite x + y using the commutative property.

(z)(y)

Rewrite yz using the commutative property.

Units

The answer to a problem should always include which of the following: decimals, exponents, units, or variables?

False, it only requires two

True or false: A linear equation requires at least three points to graph its straight line.

False, 0.3 with a line on top of it is a repeating decimal

True or false: An example of a repeating decimal is 0.3.

False, rational numbers

True or false: Irrational numbers can be expressed as a quotient of integers.

False

True or false: Natural numbers include both positive and negative numbers.

True

True or false: The name for zero on a number line is the origin.

True

True or false: The number 1 in the ordered pair (3,1) is called the ordinate.

False, it is called the origin

True or false: the point (0,0) is called the ordinate of the Cartesian plane.

Associative

What algebraic property is 2x + (9y + 12z) = (2x + 9y) + 12z?

Distributive

What algebraic property is 3(d + 2) = 3d + 6?

Commutative

What algebraic property is 4f + 7p = 7p + 4f?

13, x, y, z

What are all the factors of 13xyz?

Whole numbers

What are natural numbers and zero?

Terms

What are quantities combined by only addition or subtraction?

H-horizontal, O-0 slope, Y=a, V-vertical, U-undefined, X=a

What does HOY VUX stand for?

5x + 8 = 24

What is "eight increased by 5 times a number is 24" as an algebraic equation?

2/3x = 89

What is "two thirds of a number is 89" as an algebraic equation?

Absolute value

What is a number's distance from zero?

Variable

What is an unknown value?

Abscissa

What is the -5 in (-5, 8): the abscissa or the ordinate?

Ordinate

What is the 8 in (-5, 8): the abscissa or the ordinate?

3

What is the numerical coefficient for 3xy?

-6

What is the opposite of 6?

y - y1 = m(x - x1)

What is the point-slope formula?

1/4

What is the reciprocal of the number 4?

y = mx + b

What is the slope-intercept formula?

Ax + By = C

What is the standard formula?

Addition property of equality

What property states that if any quantity is added or subtracted from both sides of an equation, the equation remains true?

1000

What should the equation .154x + .49x - .78 = 11 be multiplied by to clear the decimals?

Division

What translates "quotient": addition, subtraction, multiplication, or division?

2 x x

Which of the following is not a correct way to show multiplication in algebra: 2x, (2)(x), or 2 x x?

Identity

Which property states that the product of any number and one is equal to itself [(a)(1)=a]?

5

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