Part One

Question 1

What is the value of x in the equation 2x + 3 = 11?

Answer 1

x = 4

Question 2

True or False: The expression 3(x + 4) is equivalent to 3x + 12.

Answer 2

True

Question 3

Fill in the blank: The quadratic formula is used to find the solutions of the equation ax^2 + bx + c = 0 and is given by ______.

*be prepared to cry…the following answer must be memorized

Answer 3

x = (-b ± √(b² - 4ac)) / 2a

Question 4

What is the slope of the line represented by the equation y = 2x + 5?

*the slope tends to be the number before X it appears

Answer 4

2

Question 5

If f(x) = 3x - 7, what is f(2)?

Answer 5

f(2) = -1

Question 6

True or False: The graph of a linear equation is always a straight line.

Answer 6

True

Question 7

What is the solution set for the equation x^2 - 9 = 0?

Answer 7

x = 3, x = -3

Question 8

What is the y-intercept of the equation 4x - 2y = 8?

Answer 8

y-intercept is -4

Question 9

Which of the following is a polynomial: 3x^2 + 2x - 5, 1/x, √x?

Answer 9

3x^2 + 2x - 5

Question 10

Fill in the blank: The point where a line crosses the y-axis is called the ______.

Answer 10

y-intercept

Question 11

What is the factored form of the quadratic expression x^2 - 5x + 6?

Answer 11

(x - 2)(x - 3)

Question 12

If the function g(x) = x^2 + 4x + 4, what is g(-2)?

Answer 12

g(-2) = 0

Question 13

True or False: The sum of two even numbers is always even.

Answer 13

True

Question 14

What is the domain of the function f(x) = 1/(x - 3)?

Answer 14

All real numbers except x = 3

Question 15

Which of the following is a solution to the equation 5x - 7 = 3? (A) x = 2 (B) x = 1 (C) x = 0

Answer 15

A) x = 2

Question 16

What is the vertex of the parabola represented by the equation y = x^2 - 4x + 3?

Answer 16

(2, -1)

Question 17

What is the result of simplifying the expression 2(3x + 4) - 5?

Answer 17

6x + 3

Question 18

Fill in the blank: The distance formula between two points (x1, y1) and (x2, y2) is ______.

Answer 18

√((x2 - x1)² + (y2 - y1)²)

Question 19

What is the product of the roots of the equation x^2 - 6x + 8 = 0?

Answer 19

8

Question 20

True or False: The equation y = mx + b represents a linear function.

Answer 20

True

Question 21

What is the x-intercept of the line given by the equation 2x + 3y = 6?

Answer 21

x-intercept is 3

Question 22

What is the value of the discriminant in the equation x^2 + 4x + 4?

Answer 22

0

Question 23

Which of the following is an example of a linear equation? (A) y = x^2 (B) y = 3x + 2 (C) y = √x

Answer 23

B) y = 3x + 2

Question 24

Fill in the blank: The set of all possible outputs of a function is called the ______.

Answer 24

range

Question 25

What is the sum of the angles in a triangle?

Answer 25

180 degrees

Question 26

What is the equation of a line in point-slope form given a slope of 2 and passing through the point (3, 4)?

Answer 26

y - 4 = 2(x - 3)

Question 27

True or False: The roots of a quadratic equation can be complex numbers.

Answer 27

True

Question 28

What is the value of y when x = 1 in the equation y = 3x + 2?

Answer 28

y = 5

Question 29

What is the factored form of x^2 - 1?

Answer 29

(x - 1)(x + 1)

Question 30

What is the slope-intercept form of the equation of a line with slope -3 and y-intercept 4? *equation is Y= slope(X) + Y-intercept

Answer 30

y = -3x + 4

Question 31

Fill in the blank: The expression (x + 2)(x - 2) is an example of a ______.

Answer 31

difference of squares

Question 32

What is the result of evaluating 3x^2 - 2x + 1 when x = 2?

Answer 32

9

Question 33

True or False: A function can have more than one output for a single input.

Answer 33

False

Question 34

What is the solution to the inequality 3x - 5 < 4?

Answer 34

x < 3

Question 35

What is the y-value when x = 0 in the equation y = 2x - 3?

Answer 35

y = -3

Question 36

What is the greatest common factor of 12 and 16?

Answer 36

4

Question 37

What is the value of x in the equation 4x - 8 = 0?

Answer 37

x = 2

Question 38

Fill in the blank: The expression x^2 + 6x + 9 is a perfect square trinomial and can be factored as ______.

Answer 38

(x + 3)²

Question 39

What is the solution to the equation 2(x - 3) = 8?

Answer 39

x = 7

Question 40

True or False: The absolute value of a number is always positive.

Answer 40

True

Question 41

What is the linear equation for a line that passes through the points (1, 2) and (3, 4)?

Answer 41

y = x + 1

Question 42

What is the range of the function f(x) = x^2?

Answer 42

y ≥ 0

Question 43

What is the simplified form of the expression 5(x + 2) - 3(x - 4)?

Answer 43

8x + 22

Question 44

What is the solution to the equation x^2 + 5x + 6 = 0?

Answer 44

x = -2, x = -3

Question 45

Fill in the blank: The slope of a line is calculated as the ______ of the change in y over the change in x.

Answer 45

rate

Question 46

True or False: The sum of the interior angles of a quadrilateral is 360 degrees.

Answer 46

True

Question 47

What is the function notation for the output when x = 3 for the function f(x) = 2x + 1?

Answer 47

f(3) = 7

Question 48

What is the equation of a circle with center (0, 0) and radius 5?

Answer 48

x² + y² = 25