6b. Is each ordered pair a solution of y < 2x + 3? (4,1)
yes
6d. Is each ordered pair a solution of y < 2x + 3? (-5,6)
no
3. Write the equation of a line in slope-intercept form that has a slope of -¼ and passes through (2, 5).
y = -1/4x + 5 1/2
1. Write an equation in slope-intercept form to represent a line that passes through the points (-2,4) and (2,-4).
y=-2x
5A. Write the linear inequality that represents each graph.
y<x
6c. Is each ordered pair a solution of y < 2x + 3? (2,10)
no
13. Is (-3, 4) a solution of y ≥ ³⁄₂x +32? Explain your answer.
no
9a. Part A: In how many months will her checking account balance equal her savings account balance?
6 months
8d. Part D If the library buys 8 hardcover books, how many paperback can it buy?
11
7. Write an equation in standard form to represent the line shown on the graph below.
2x - y = -4 OR -2x + y = 4
8c. Part C If the library buys 15 paperback books, how many hardcover books can it buy?
6
10. Nancy has a snack budget of $12. Chips are $0.25 per bag and soda is $1.25 per can. Write an inequality that represents the number of chips c and sodas s she can purchase.
0.25c + 1.25s ≤ 12
4. The function f(x) represents the amount charged by babysitter A for x hours of work, and g(x) represents the amount charged by babysitter B for x hours of work. For how many hours of work will the babysitters charge the same amount?
5 hrs / $55
9b. Part B: If Taryn deposited an additional $450 in her savings account, in how many months will her balances be the same?
3 months
12. Is (-2, -4) − a solution of y ≥ 3x + 2?
yes- it falls on the solid boundary line so it is included in the solution set
8a. The library is ordering books. Hardcovers cost $20 and paperbacks cost $12. The library’s budget is $300. Part A: Write a linear equation to represent the budget.
20x + 12y = 300
5B. Write the linear inequality that represents each graph.
y ≥ 2x - 1
2. Line r is shown on the graph. What is the equation of line r?
y= -3/2x + 4
6a. Is each ordered pair a solution of y < 2x + 3? (0,3)
no
11. Is (2, 1) − a solution of y < -³⁄₂x + 4?
no- it falls on the dashed boundary line
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