Deck 11: P Prerequisites

Question 1

Solve:

Answer 1

(-1,3)

Question 2

Write the complex number
standard form

Answer 2

Question 3

square.

Answer 3

Question 4

Solve:

Question 5

Solve using the quadratic formula.

Question 6

Write the inequality that describes the graph.

Question 7

Solve the inequality |2x+1|<5 algebraically.

Question 8

Solve algebraically.

Question 9

Solve:

Question 10

Find the midpoints of the sides of the triangle defined
by the vertices (5, 5), (-2, 7), and (-1, 1).

Question 11

In the x y -plane, what is the slope and y -intercept of the graph of the line 4 x+3 y=12 ?

A) m=4, b=12
B)
C)
D)
E)

Question 12

Directions: Show all work where appropriate. A graphing calculator may be necessary to answer
some questions.

Question 13

Which of the following is the graph of x=-5 in the
xy-plane?

A) A line parallel to the x-axis five units above the
x-axis
B) A line parallel to the x-axis five units below the
x-axis
C) A line parallel to the y-axis five units to the right of
the y-axis
D) A line parallel to the y-axis five units to the left of
the y-axis
E) A line through the origin and the point (5, 5)

Question 14

Find the distance between the points (-8, 5) and (3, 2).

Question 15

Simplify the expression Assume that the variables are not zero.

A)
B)
C)
D)
E)

Question 16

Find the equation of the line that passes through the
point (10, -3) and whose graph is perpendicular to the
graph of y=5x-2.

Question 17

Question 18

Solve 3(x+2)=5(2x-3)-7.

Question 19

Solve 3x-4>-2 algebraically.

Question 20

Which of the following are solutions of the equation
(x-5)(x+3)=0?

A) x=5 only
B) x=-3 only
C) Both x=5 and x=-3
D) Neither x=5 nor x=-3
E) There are no solutions to the equation.

Question 21

Write the complex number in standard form.

Question 22

Solve the equation by completing the square. Show all steps.

Question 23

Find the equation of a line that contains (3, 4) and
has slope 2. Write the equation in point-slope form.

Question 24

Complete the table of solutions for the equation y=-3 x+2

Question 25

Directions: Show all work where appropriate. A graphing calculator may be necessary to answer
some questions.

Question 26

Name the algebraic property or properties illustrated by the equation.
2 x+3 y=3 y+2 x

Question 27

Solve graphically:

Question 28

Find the equation of a line that has x-intercept 2 and
y-intercept -7. Write the equation in slope-intercept
form.

Question 29

Question 30

Solve graphically:

Question 31

Question 32

Use the quadratic formula to solve

Question 33

Write the complex number in standard form.

Question 34

For the function choose the viewing window that shows two intersections with the x -axis and all the points of the graph in between.

A) [-10,10] by [-10,10]
B) [-2,7] by [-20,20]
C) [-5,5] by [-15,15]
D) [-7,2] by [-20,20]
E) [-20,20] by [-10,10]

Question 35

Name the algebraic property or properties illustrated by the equation.
3(x+y)=3 x+3 y

Question 36

Question 37

In standard form, write the equation of a circle with
center (2, -6) and radius 9.

Question 38

Solve the inequality
Express your answer in interval notation.

Question 39

Question 40

Write the equation of a line through the point (-1,2) and parallel to the line with equation 3 x-2 y-5=0 . Write the equation in the general form.

A) 3 x-2 y+2=0
B) 2 x+3 y-4=0
C) 2 x+3 y-5=0
D) 3 x-2 y+7=0
E) 2 x-3 y-4=0

Question 41

A projectile is launched straight up from the ground with an initial velocity of 352 At what time(s) will the projectile be at least 1,536 feet above the ground?

Question 42

Find the equation of a line that contains (1, 3) and has
slope -4. Write the equation in point-slope form.

Question 43

Question 44

Use the quadratic formula to solve

Question 45

Find the equation of a line that has x-intercept 3 and
y-intercept -5. Write the equation in slope-intercept
form.

Question 46

Solve graphically:

Question 47

For the function choose the viewing window that shows two intersections with the x -axis and all the points of the graph in between.

A) [-10,10] by [-10,10]
B) [-2,7] by [-20,20]
C) [-5,5] by [-5,5]
D) [-7,2] by [0,20]
E) [-20,20] by [0,10]

Question 48

Solve the inequality
Express your answer in interval notation.

Question 49

Solve graphically:

Question 50

Write the equation of a line through the point (-1,2) and perpendicular to the line with equation 2 x-3 y-5=0 . Write the equation in the general form.

A) 2 x+3 y+8=0
B) 3 x+2 y+2=0
C) 2 x-3 y+8=0
D) 3 x+2 y-1=0
E) 2 x-3 y-5=0

Question 51

Solve the equation
by completing the square. Show all steps.

Question 52

In standard form, write the equation of a circle with
center (-3, 4) and radius 7.