UNIT 1 REVIEW

Which represents the following sentence: Twenty less than triple a number is thirty 20 – 3x = 30 20 – 3x > 30 3x – 20 < 30 3x – 20 = 30

2) Kara purchases a car for $30,000 if V = 30,000( 2) Kara purchases a car for $30,000 if V = 30,000(.9)x gives the value of the car after x years, how much will the car be worth in 8 years? $12, 914.02 $216,000 $15,623.15 $14,348.91

3) Gary is 3 years older than twice the age of his sister Elena 3) Gary is 3 years older than twice the age of his sister Elena. Which shows an equation for this situation? G = 6E G = 2E + 3 E = 3G + 2 G = 3E + 2

4) Which of the following represents the graph of y > − 8 3 𝑥+4

5) Which of the following points satisfies the linear inequality shown below (6,0) (4, 1) (0, -6) (0,2)

6) Given the slope m = − 1 5 and b = 4 6) Given the slope m = − 1 5 and b = 4. Which of the following graphs matches this information?

7) Which of the following graphs models the equation x + 2y = -8

8) Given the formula AB + C = D solve for B B= C−D A B = D – C – A B = D – CA B= D−C A

9) Write a model that represents the following: Jackson got $75 from mowing the lawn which is $10 more than half of what Andrew got 75 = 1 2 𝐴+10 75 = 2A + 10 75 + 1 2 𝐴 = 10 J + 75 = 1 2 𝐴

10) The population in the town of Huntersville is presently at 38,300 10) The population in the town of Huntersville is presently at 38,300. The town grows at an annual rate of 1.2%. This information is modeled using the formula y = 38300(1.012)x ; What will be the population of the town in 4 years? 60,266 153,200 155,038 40,172

12) Which of the following graphs models the equation y = x + 1

12) Which of the following graphs models the function y ≤ -4x + 1

13) Which of the following points satisfies the linear inequality shown below (0,0) (-6, 0) (0, -6) (0,6)

14) Given the formula x y =𝐵−3 Solve for x X=B −3Y X= B – 3 – Y X = Y(B – 3) X= B−3 Y

15) Disney parks make $600 more than twice what Six Flags makes in a day. Disney made $18,652 yesterday. Write a model that demonstrates this situation. 18652 = 600 + x 18652 = 600 + 2x 18652 > 600 + 2x 18652 + 600 = 2x

16) Given the formula 1 2 𝑏ℎ=𝐴 Solve for h h= 2A b h= A 2b h= 1 2 bA h= 2𝑏 A

17) The value of a car decreases exponentially over each year 17) The value of a car decreases exponentially over each year. The initial price of the car is $24,500 and it decreases by a rate of 3.4% each year. How much will the car be worth in five years if the formula is modeled by y = 24500(.966)x $22,112.14 $21,334.12 $20,608.75 $118,335

18) Which of the following graphs models the function y = -2x – 4

19) Write a model that represents the following: Peter is 10 more than 3 times his brother Aaron’s height. P = 3A + 10 3A + P = 10 3A + 10P = P 3P - 10 = A

20) Given the formula X Y =5 Solve for x y = 5x x= y 5 x= 5 y x=5y