Algebra Fundamentals
Simplify 23 *22
25=32
Where is point C located?
The y- axis
Miley got a gift card for her birthday. She spends $4 a day from her gift card. After 14 days, she has $12 left. Write an equation to model how much money she has on her gift card based on how many days she’s had it.
y - 12 = -4(x - 14)
x+3=8
x=5
Identify the slope and y-intercept of y = -x
b= -1, m = 0
What is the greatest common factor (GCF) of 12 and 18?
6
Point A has coordinates (1,4). What is the correct way to interpret the coordinates?
a) y = 1, x = 4
b) slope= 1, y-intercept = 4
c) x = 1, y = 4
d) x-intercept = 1, y-intercept 4
c) x = 1, y = 4
A home pizza oven costs $125. The ingredients to make a pizza at home cost $8.25 while a delivery pizza costs $14.50. If P is the number of pizzas you eat a year, how many pizzas must you eat to make the oven worth the cost?
P > 20 (20 or more, even 20 can be acceptable.)
a/4=6
a=24
Graph x = 5
one vertical line at 5 on the x-axis
What is the simplest form of the fraction: 12/16
3/4
A point on a graph has coordinates (3, t) where t ≥ 0. Where is the point located?
a) Either Quadrant I or Quadrant II
b) Either Quadrant I or the x-axis
c) Either Quadrant I or Quadrant IV
d) Either Quadrant IV or the y-axis
b) Either Quadrant I or the x-axis
The Kelly High School math team sells hot dogs at a school fundraiser. The math team earns $108 and has a combination of five-dollar bills and one-dollar bills in its cashbox. The equation that represents this situation is 5x + 1y = 108. Find 4 possible combinations of $1 bills and $5 bills. Write each solution as an ordered pair.
Answers will vary. Sample response: (1, 103), (13, 43), (0,108), (20, 8)
5-2b=11
b=-3
Write the slope-intercept form of the equation 3x + 4y = 8
y = -3/4x + 2
Add:
(3/4) + (5/12)
7/6 OR 1 1/6
Which Point is the x intercept of the line?
(-4,0)
A ramp is considered safe if it has a slope of 1/10 or less. An architect makes a copy of his design and sketches a standard (x, y) coordinate plane over his design to see if it will pass inspection. The line segment which represents the side view of the ramp goes through the points (4, -1) and (15, 3). What is the slope of the planned ramp?
4/11
(z+3)/2=7
z=11
Write the standard form of the equation y = 1/8x - 5
x - 8y = 40
Solve: (4+2)^3 / 3
72
Point E has coordinates (-7, 5). Point F is six units up and eight units to the right of point E. What quadrant is point F in?
a) Quadrant I
b) Quadrant II
c) Quadrant III
d) Quadrant IV
a) Quadrant I
A rectangle has a width that measures
4n – 12 and a length that measures 2n + 16.
a) Draw the rectangle and label the sides, in
terms of n.
b) Write a simplified expression that represents
the perimeter of the rectangle, in terms of n.
a) a rectangle with sides 2n + 16
b) P=12n+8
3x-4=2(x-1)
x=2
Graph -2x + 2y = -8
A increasing line that intercepts on -4 on the y and intercepts on 4 on the x