Solutions to 2-Variable Equations & Inequalities
(A-REI.7)
Graphs of Equations & Inequalities
(A-REI.10)
Graphs of Systems of Equations & Inequalities
(A-REI.10)
Rearranging Formulas
(A-CED.1)
Creating Expressions, Equations, and/or Inequalities
(A-CED.1)
100

Which point is not on the graph represented by

y = x^2 + 3x − 6?


1) (-6, 12)  |   2) (-4, -2)   | 3) (2, 4)    | 4) (3, -6)

What is 4) (3, -6)?

100
Given the picture, which inequality is represented by the accompanying graph? 1) y < 3 2) y > 3 3) y ≤ 3 4) y ≥ 3
What is 1) y < 3?
100
Given the graph, what is one point that lies in the solution set of the system of inequalities graphed below? 1) (7, 0) 2) (3, 0) 3) (0, 7) 4) (-3, 5)
What is 1) (7, 0)?
100
Michael borrows money from his uncle, who is charging him simple interest using the formula I = Prt. To figure out what the interest rate, r, is, Michael rearranges the formula to find r. His new formula is r equals (looking at the choices)
What is 3)?
100
An expression of the fifth degree is written with a leading coefficient of seven and a constant of six. Which expression is correctly written for these conditions? 1) 6x^5 + x^4 + 7 2) 7x^6 - 6x^4 + 5 3) 6x^7 - x^5 + 5 4) 7x^5 + 2x^2 + 6
What is 4) 7x^5 + 2x^2 + 6?
200
The solution of an equation with two variables, x and y, is 1) the set of all x values that make y = 0 2) the set of all y values that make x = 0 3) the set of all ordered pairs, (x,y), that make the equation true 4) the set of all ordered pairs, (x,y), where the graph of the equation crosses the y-axis
What is 3) the set of all ordered pairs, (x,y), that make the equation true?
200
Given the graph, which inequality is represented in the graph below? 1) y ≥ −3x + 4 2) y ≤ −3x + 4 3) y ≥ −4x − 3 4) y ≤ −4x − 3 (**use a calculator)
What is 1) y ≥ −3x + 4?
200
What is the solution to the system of equations below? y = 2x + 8 3(−2x + y) = 12 1) no solution 2) infinite solutions 3) (−1,6) 4) (1/2 ,9)
What is 1) no solution?
200
Looking at the answer choices, the equation for the volume of a cylinder is V = r^2 h. The positive value of r, in terms of h and V, is
what is 1)?
200
To watch a varsity basketball game, spectators must buy a ticket at the door. The cost of an adult ticket is $3.00 and the cost of a student ticket is $1.50. If the number of adult tickets sold is represented by a and student tickets sold by s, which expression represents the amount of money collected at the door from the ticket sales? 1) 4.50as 2) 4.50(a + s) 3) (3.00a)(1.50s) 4) 3.00a + 1.50s
What is 4) 3.00a + 1.50s?
300
Which linear equation represents a line containing the point (1,3)? 1) x + 2y = 5 2) x − 2y = 5 3) 2x + y = 5 4) 2x − y = 5
What is 3) 2x + y = 5?
300
Is the point (3, 2) a solution to the equation y = -(3/4)x + 3? Explain your answer based on the graph drawn.
No, because 2 = -(3/4)*3 + 3 is False; or Use of a table shows (3, 0.75) and not (3, 2).
300
Using the substitution method, Ken solves the following system of equations algebraically. 2x − y = 5 3x + 2y = −3 Which equivalent equation could Ken use? 1) 3x + 2(2x − 5) = −3 2) 3x + 2(5 − 2x) = −3 3) 3(y + 5/2) + 2y = −3 4) 3(5/2 − y) + 2y = −3
What is 1) 3x + 2(2x - 5) = -3?
300
Boyle's Law involves the pressure and volume of gas in a container. It can be represented by the formula P1V1 = P2V2 . When the formula is solved for P2 , the result is
What is P1V1/V2?
300
Marie currently has a collection of 58 stamps. If she buys s stamps each week for w weeks, which expression represents the total number of stamps she will have? 1) 58sw 2) 58 + sw 3) 58s + w 4) 58 + s + w
What is 2) 58 + sw?
400
Point (k,−3) lies on the line whose equation is x − 2y = −2. What is the value of k? 1) −8 2) −6 3) 6 4) 8
What is 1) -8?
400
On the set of axes on the jeopardy card, draw the graph of the equation y = -(3/4)x + 3
Look at graph..
400
In attempting to solve the system of equations y = 3x - 2 and 6x - 2y = 4, John graphed the two equations on his graphing calculator. Because he saw only one line, John wrote that the answer to the system is the empty set. Is he correct? Explain your answer.
No, because the two equations are the SAME line, thus there are infinite solutions and NOT an empty set of no solutions.
400
The formula for the sum of the degree measures of the interior angles of a polygon is S = 180(n - 2). Solve for n, the number of sides of the polygon, in terms of S.
What is n = (S + 360)/180?
400
John has four more nickels than dimes in his pocket, for a total of $1.25. Which equation could be used to determine the number of dimes, x, in his pocket? 1) 0.10(x + 4) + 0.05(x) = $1.25 2) 0.05(x + 4) + 0.10(x) = $1.25 3) 0.10(4x) + 0.05(x) = $1.25 4) 0.05(4x) + 0.10(x) = $1.25
What is 2) 0.05(x + 4) + 0.10(x) = $1.25?
500
If the point (5,k) lies on the line represented by the equation 2x + y = 9, the value of k is 1) 1 2) 2 3) −1 4) −2
What is 3) -1?
500
On the set of axes on the jeopardy card, draw the graph of the inequality y > x − 4
Look at graph
500
Solve the following system of equations algebraically for y: 2x + 2y = 9 2x - y = 3
What is (2.5, 2)?
500
Solve the equation below for x in terms of a. 4(ax + 3) - 3ax = 25 + 3a
What is x = (13 + 3a)/a
500
Byron has 72 coins in his piggy bank. The piggy bank contains only dimes and quarters. If he has $14.70 in his piggy bank, which equation can be used to determine q, the number of quarters he has? 1) 14.70 + 0.25q = 72 2) 0.10(q - 72) + 0.25q = 14.70 3) 0.10(72 - q) + 0.25q = 14.70 4) 0.10q + 0.25(72 - q) = 14.70
What is 3) 0.10(72 - q) + 0.25q = 14.70?
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