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Algebraic Expressions
Equations
Inequalities
Linear Equations
Vocabulary
100
Evaluate 3 + 11t - 9u when t = 9 and u = 11.
= 3
100
Solve for d. 41 = 12d – 7
d = 4
100
Which of the following f –values satisfy this inequality? f + 8 < 12
F = 3
100
Complete the missing value in the solution to the equation. x – 5y = -15 (-5, ______)
2
100
What is an intercept?
Where the graph of an equation crosses an axis. X-intercept is where it crosses x –axis.
200
Evaluate 8j - k + 14 when j = 0.25 and k = 1.
= 15
200
Solve for f. 2 + 1.25f = 10 – 2.75f
f = 2
200
Find the solution set of the inequality 4x – 1 < 11
x < 3
200
Determine the intercepts of the line. 2x + 5y = - 6
X intercept is (-3, 0) Y intercept is (0, - 1.2)
200
The formula for slope is
y2 – y1 / x2 – x1
300
Expand the expression and combine like terms: 5(10k + 1) + 2(2 + 8k)
66k + 9
300
Solve for d. 0.5(7d + 4) = 7 – 1.5d
d = 1
300
Describe the two situations where you would flip the inequality?
1. Multiply (or divide) both sides by a negative numbers. 2. Swapping left and right hand sides.
300
Complete the slope intercept form of an equation of the line through (1,4) and (2,2).
y = -2x + 6
300
The formula for Slope-Intercept form is
y = mx + b
400
Expand the expression and combine like terms: -5(1 - 5k) - 4(2k + 5)
17k - 25
400
Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left. Write an equation to determine the number of friends (x) at Jack’s party. _____________________________ Find the number of Friends at Jack's party. _____________________________
The equation is: 3x + 2 = 50 There were: 16 friends at Jack's party.
400
Solve the inequality 54x + 63 > 49x + 59
x > -1
400
Complete the point-slope equation of the line through (-9,6) and (-7,-8) y – 6 = _________
y – 6 = -7(x + 9)
400
The formula for Standard form is:
Ax + By = C
500
Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the expression 12h + 30w where (h) is the number of hours worked and (w) is the number of wagons is sold.
A sales employee gets paid $162 for working 6 hours and selling 3 wagons.
500
The sum of 3 consecutive even numbers is 78. What is the second number in this sequence?
The second number in the sequence is 26.
500
Svetlana’s hair is 4 centimers long. Her hair grows 1.5 centimeters per month. Svetlana wants her hair to grow so that it is at least 7 centimeters long. Write an inequality to determine the number of months, m, it will take Svetlana’s hair to grow so it is at least 7 centimeters long. _______________________ Solve Inequality ____________
Note: this is a greater than or equal to. There should be a line under the inequality. 4 + 1.5m > 7 m > 2
500
What is y + 4 = -6(x+6) written in standard form?
6x + y = -40
500
The formula for Point-Slope form is:
y - y1 = m(x - x1)