Equations/Inequalities
What is the solution to x + 7 = 27
x = 20
Solve: x2 = 49
x = 7, x = -7
Which of the following is a linear function?
y = x2
y = 2/x
y = x/2
y = 2x
y = x/2
Write an expression for this word problem. Let x be the number of days.
Tom has 150 dollars in his bank account and he earns 15 more dollars per day.
150 + 15x
Solve: 2x + 15 > x - 5
x > -20
Solve: (x-4)2 = 36
x = 10, x = -2
Two charities set annual goals for donation:
Charity 1: Increase total donations by $2, 500 per year
Charity 2: Increase total donations by 12.5% per year
Which charity represents a linear model?
Charity 1
Zoe needs money for the prom. She thinks it costs $100, but she wants to make more than that just in case. She earns $3.50 per hour babysitting. Let x be the number of hours. Write an inequality for this situation.
3.50x > 100
Solve:
6(2x - 3) + 4 = 16 - (-18)
x = 4
What is the lesser root of this function?
x2 + 12x + 35
-7
Write an equation for this scenario. Let x represent days.
I start off with 100 lollypops and my stash increases by 5% each day.
y = 100(1.05)x
Beth is paid $225 a week plus $20 per sale. This week she wants to earn more than $650. Let x represent the number of sales, and write an inequality for this situation.
225 + 20x > 650
Solve:
4 - 2(x + 3) = 6 - 3(x - 1)
11
What are the zeros of this function?
y = 2x2 - 3x - 20
x = 4, x = -2.5
Write an equation for this scenario. Let x represent days.
A certain company starts with 20,000 clients but after some bad Google reviews, they start losing 5% of their clients each day
y = 20,000(.95)x
A rectangle is 4 cm longer than it is wide and it's area is 117 cm2. What is its length?
A. 4 cm
B. 5 cm
C. 9 cm
D. 13 cm
D. 13 cm
Solve: -8x + 6 < 2(-3x + 1)
x > 2
What number should be added to make this a perfect square trinomial? (Hint: this is one of the first steps of Completing the Square)
x2 + 10x + ?
25
As x approaches infinity, what happens to an exponential graph?
It grows without bound
At an elementary school there are two fenced in areas on the playground. The small play area is 1/4 the area of the large play area. The total square footage of the two areas is 2000 ft2. What is the size of the small play area?
A. 200 ft2
B. 400 ft2
C. 800 ft2
D. 1600 ft2
B. 400 ft2