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Algebra Foundations
Expressions
Equations
Inequalities
Lines and Slope
100
(-4) (-2) + (-1) (-3)
What is 12?
100
Evaluate 10m + n/4 when m = 5 and n = 16
What is 54?
100
Solve for m. 2 = m/2 - 7
What is m = 18
100
The Mali Empire of West Africa was known far and wide for the great wealth of its rulers. The empire fell in the year 1610. Let x represent any year. Write an inequality in terms of x and 1610 that is true only for value of x that represent years after the year the Mali Empire fell.
What is x > 1610.
100
Which of the ordered pairs is a solution of the following equation? 4x - 1 = 3y + 5 Only (3,2) Only (2,3) Both Neither
What is Only (3,2).
200
(3/2) ^3
What is 27/8
200
Write an expression for "n decreased by 3."
What is n - 3
200
Solve for g. 2 + 6g = 11 - 3g
What is g = 1
200
-9x > 18
What is x < -2
200
What is the Y - intercept of this equation y - 3 = 2(x + 1)
What is y -intercept is 5
300
Solve and simplify: (1/2) (-2/9)
What is -1/9
300
Write an expression to represent: Three more than the product of two and a number x.
What is 3 + 2x
300
Solve for g. 6(2g - 1) = 13g
What is g = -6.
300
Find the solution set of the inequality 7x - 10 > 16
What is x > 26/7
300
What is the slope of the line whose equation has the following solutions? (-47, 5) (23, -16)
The slope is - 3/10
400
162 is what percent of 200?
What is 81%
400
Expand the expression and combine like terms: 6(5r - 11) - (5-r)
What is 31r - 71
400
Solve for f. 4(0.5f - 0.25) = 6 + f
What is f = 7
400
Renna pushed the button for the elevator to go up, but it would not move. The wight limit for the elevator is 450 kilograms, but the current group of passengers weighs a total of 750 kilograms. Renna wants to determine how many 70 kilogram passengers need to get off the elevator. Let p represent the number of excess passengers. Write an inequality to determine the number of passengers who need to get off the elevator to meet the weight requirement. ______ What is the minimum whole number of passengers who need to get off the elevator to meet the weight requirement? _________
Inequality is 750 - 70p < 450 Minimum is 5
400
What is the slope of the line given by the following equation? y =-4000x + 9000
What is -4000
500
Samuel has a collection of toy cars. his favorites are the 27 red ones which make up 60% of his collection. How many toys cars does Samuel have?
Samuel has 45 toy cars.
500
The expression 1.08s + 1.02b predicts the end-of-year value of financial portfolio where s is the value of stocks and b is the value of bonds in the portfolio at the beginning of the year. What is the predicted end-of-year value of a portfolio that begins the year with $200 in stocks and $100 in bonds?
What is $318 at the end of the year.
500
The perimeter of a rectangle is 34 units. Its width is 6.5 units. Write an equation to determine the length (l) of the rectangle. Find the length of the rectangle.
Equation is 2l + 13 = 34 Solution is 10.5 units.
500
-42v + 33 < 8v + 91
What is v > -29/25
500
What is the linear equation that has the following solutions? (-35, 225) (-6,22) Put in the form of y = mx + b
What is y = -7x -20