Vocabulary
Adding
Minus
Multiplication
Division
100
Algebra: Graph each ordered pair:
1. (-3,3)
2. (3,0)
Pre-Algebra:
1. 3 + (-7)
2. -11 + 19
Algebra:
1.check students work
Pre-Algebra:
1. -4
2. 8
100
Algebra: Solve each equation for y:
1. 3x + y = 1
2. 8 - y = x
Pre-Algebra:
1. (-2) + (-5)
2. -6 - (-12)
Algebra:
1. y = -3x + 1
2. y = -x + 8
Pre-Algebra:
1. -7
2. 6
100
Convert each standard form into slope-intercept form:
1. 5x + 2y = 12
2. 3x + 4y = 10
Algebra:
1. y = 5/2x - 6
2. y = -3/4x + 5/2
100
Convert each equation to slope-intercept form:
1. 3 - 1/2y = 5x
2. x - 2y = 8
Algebra:
1. y = -10x + 6
2. y = 1/2x -4
100
Solve for the unknown variables:
1. 2g + 5 = 33
2. -4 + t = -7
1. g = 14
2. t = -3
200
Algebra:
1. A _________ is an equation of a line.
2. The __________ of a linear equation is Ax +By = C.
Algebra:
1. linear equation
2. standard form
200
Algebra:
1. Values of x for which f(x) = 0 are called ______ of the function.
2. Any two points on a nonvertical line can be used to determine the _________.
Algebra:
1. x-intercepts
2. slope
200
Describe (in words) what the graph of the line looks like when:
1. Their slope is 0
2. Their slope is undefined
1. When their slope is 0, it is a horizontal line.
2. When their slope is undefined, it is a vertical line.
200
Algebra:
1. Triangle ABC is an isosceles triangle. Angle A is 98 degrees. Angle is different from angle B and angle C.
2. What is the y-intercept of the equation: y=1/3x+2?
Algebra:
1. Angle B and angle C both equal 41 degrees.
2. (0, 2)
200
Algebra: Find the x-intercept and y-intercept of the following equations:
1. 2x - 3y = 5
2. 6x + 2y = 8
Algebra:
1. x-intercept: (2.5, 0); y-intercept: (0, -5/3)
2. x-intercept: (4/3, 0); y-intercept: (0, 4)
300
Algebra: Find the slope of the line passing through each pair of points.
1. (2,5) and (3,6)
2. (6,-4) and (-3,7)
Algebra:
1. 6
2. 3
300
Find the slope of the line passing through each pair of points.
1. (-1,3) and (6,3)
2. (2,-8) and (4,1)
3. (4, 3) and (4, -7)
Algebra:
1. 0
2. 9/2
3. undefined (this means it's a vertical line)
300
Algebra:
1. Where does the graph of y=-3x-18 intersect the x-axis?
2. Tickets to see a movie cost $5 for children and $8 for adults. The equation 5x + 8y = 80 represents the number of children (x) and the number of adults (y) who can see the movie with $80. If no adults see the movie, how many children can see the movie with $80?
Algebra:
1. (-6,0)
2. 16 kids
300
Algebra:
1. Use the distributive property to simplify. -3(x-10)+x
2. Simplify: 8y – 2 – 3(y – 4)
Algebra:
1. - 2x + 30
2. 5y – 14
300
Given the pattern below, create a rule for the growing pattern of white squares only (It starts with Stage 1):
2x + 2(x + 2) OR 4x + 4
400
Given two points: (x1 , y1) and (x2 , y2), how can you find the slope of its line?
Follow up question: You have two points: (-1, 5) and (3, -6). Find its slope.
Use slope formula:
(y_2 - y_1)/(x_2 - x_1)
The slope of the given two points is -11/4
400
Are these two linear equations equivalent or not?
2x + 3y = -33 AND y = (-2/3)x + 11
No they are not equivalent.
400
Write the equation from the story below:
Benny wants to rent a bicycle to ride to the store and back to his friend's house. The bike costs $5 to unlock and $2.50 each minute he rides.
y = 2.50x + 5
400
Algebra:
1. On a map of North Carolina, the distance between Charlotte and Wilmington is 14.75 in. If 2 in equals 24 miles, what is the approximate distance between the two cities?
2. Louisa bikes 5 miles to the park in 30 min and 3 miles to the library in 45 min. What is her average speed?
Algebra:
1. 177 mi
2. 6.4 mph
400
Algebra:
1. Find the total price of a sweatshirt that is priced at $48 and taxed at 6.5%.
2. Solve 5x - 3y = 9 for y.
Algebra:
1. $51.12
2. y = 5/3x - 3
500
Algebra:
1. Add the polynomials: 2a +3b + 5a -7b
2. Subtract the polynomials: (9x2-4x+11) - (3x2-2x+2)
Algebra:
1. 7a - 4b
2. 6x2-2x+9
500
Given a pair of points below, find their slopes:
1. the line through (3,7) and (-1,4)
2. the line through (-3,2) and (6,2)
1. 3/4
2. 0 (this is a horizontal line)
500
Find its slope, y-intercept, and equation of the line:
1. the line through (2,-8) and (4,1)
2. a vertical line going through (5, -3)
Algebra:
1. slope: m = 9/2; y-intercept: (0, -17); Equation: y = (9/2)x - 17
2. slope: undefined; y-intercept: none; Equation: x = 5
500
You get money for your birthday and you track the amount of money you have left in your account since your birthday using the table below. How much savings do you initially have?
You initially have $315 before spending.
500
A group of vampires have invaded Senn. When they bite people, those victims become vampires as well. 3 days after the invasion, there were 51 vampires, this includes the original vampires as well as the fresh victims. After 10 days, there were 100 vampires. How many were in the original group that invaded?
There were 30 vampires in the original group that invaded.