Solving Equations
Solve for x:
1/3 (x + 18) = 10
In y = 3x - 9, what is the slope? Y-intercept?
Slope (M) = 3
Y-Intercept (B) = -9
x8 / x5
x3
The following pizza slices have crusts that are congruent in size. Using the expressions of the length of the crust of each pizza slice, solve for the value of x.
PIZZA 1: 1/2 (X - 52)
PIZZA 2: 2 (X - 19)
8 - -3
-8 + -3
-8 + 3
11
-11
-5
How many solutions does this equation have?
3x + 2(x - 5) = 6(x + 3) - x
NO SOLUTIONS
Five sandwiches cost $35 at Subway. At the Bodega, the total cost is represented by the equation y = 7x. Which of the following is true?
The Bodega and Subway are equally expensive
Subway is less expensive by $2 per sandwich
The Bodega is less expensive by $2 per sandwich
The Bodega is less expensive by $30 per sandwich
3 - Bodega sandwich is less expensive by $2
x8 . x5
x13
The perimeter of a rectangle is equal to 98 feet. The length of the rectangle is 5 more than the width.
A: Write an equation that could be used to calculate the width, w, of the rectangle.
B: What is the width of the rectangle? Remember to include units.
A: P = 2(w) + 2(w + 5)
B: 22 feet
-6x + 12 = 2(a + 6)
For what value of a would this equation have infinite solutions?
a = -3
What is the largest integer value that makes the inequality true?
2X + 6 > 5x – 4
3
Given 2 points...
(3, 11)
(7, 0)
Find slope
-11/4 or -2 3/4
10y-4
10/y4
The area of a rectangle is 4x3 + 6x2 - 10x square feet. If the width of the rectangle is 2x feet, what is the length of the rectangle in feet? Remember to include units.
2x2 + 3x - 5 feet
What two numbers is the square root of 203 in between?
14 and 15
Solve: 4/5 (2x - 15) = 4 - 3.4x
x = 16/5
What do you know about all points on the same line?
a) The higher the point is on the line, the greater the slope
b) The higher the point is on the line, the lesser the slope
c) All points on a line have the same, equal slope between one another
C
Simplify: (2x3 - 8x2 + 16x) / (-2x)
-x2 + 4x - 8
Graph y = -2x + 5
SEE GRAPH
Solve all 3 equations
1. x = square root of 25
2. x2 = 25
3. x2 - 5 = 43
1. x = 5
2. x = +/- 5
3. x = +/- square root of 48
Solve: 1/2 (x + 3) = 3 (0.1 + 0.16x)
x = -60
Verizon = At 2 months, costs $60. At 5 months, costs $105.
AT+T = At 4 months, costs $80. At 7 months, costs $131.
Which company costs more per month and by how much?
AT + T by 2 dollars (17 vs 15)
A = 10x - 8
B = 3x2 - 5x
A + 2B = ?
6x2 - 8
Gabe was driving to his football game this Saturday. When he left his house the mileage on his car was 220 miles and when he arrived at the football game, the mileage on his car was 380 miles. He used 8 gallons of gasoline on his trip.
PART 1: Draw and label a graph on the grid below to show the relationship between gasoline used, x, and distance traveled, y, on Gabe’s trip.
SEE GRAPH
A = 10x - 8
B = 3x2 - 5x
B - A = ?
3x2 - 15x + 8