Algebra 2 Test Review 1.3,.14,2.2, and 2.4
Solve the equation or formula for the indicated variable.
1.
, for U
2. Find the equation of the line passing through the points (–4, 6) and (–5, 3).
𝑦−𝑦1
Find the slope first: 𝑚 = 𝑥−𝑥1
Use the slope and one of the given points to write the equation.
Solve the equation.
3.
4.
Solve the inequality. Graph the solution set. Write in interval notation.
5. –7 + 5k  3
6. 34 + 10b  5(2b + 3)
7. –4k + 3  –1
8. 4(3b + 4) < 5 + 12b
Solve the compound inequality. Graph the solution set. Write in interval notation.
9. 9x + 4  –32 and 2x – 7  1
10. 8x – 5 < 3 or 3x + 6 > 15
11. A balloon takes off from 100 feet above sea level and rises at 56 feet per minute. Write an equation that models the height
of the balloon. Define the x and y variables.
12. A 3-mi cab ride costs $3.00. A 6-mi cab ride costs $4.50. Find a linear equation that models cost of the cab ride. Define
the variables x and y. Then find the cost of a cab ride 8 mi ride
Use the right form of the linear equation and graph the following:
13. 4x – 2y = 16
3
14. y = - 5 𝑥+ 3
15. The sum of 3 consecutive numbers is 39. What is the second number?
Determine if the following data sets have strong, weak or no correlation. Explain.
16. {(0,11), (2,8), (3,7), (7,2), (8,0)}
17. {(-15,8), (-8,-7), (-3,0), (0,5), (7,-3)}
–8 –6 –4 –2
14
2.
bc
0
2
4
6
8
0
2
4
6
8
0
2
4
6
8
12. x  –4 and x  4
3.
–8 –6 –4 –2
y
13. x < 1 or x > 3
4
–8 –6 –4 –2
14.
2
t
15
–4
O
–2
2
4
x
–2
10
–4
5
4.
16
y
0
12
5
15. c = 0.60d + 1.20
8
4
–4
O
4
8
12
16 x
–4
5. y – 6 = 3(x + 4)
1
6. 8
2
4
7.
5
8. k  2
–8 –6 –4 –2
0
2
4
6
8
0
2
4
6
8
0
2
4
6
8
9. all real numbers
–8 –6 –4 –2
10. ANS:
k1
–8 –6 –4 –2
11. no solutions
10
15 h