MAC 1105

Test 1 Review

andPractice Solutions

MAC 1105 Test 1 Review 1.4 – 1.7

You will need to have your own graphing calculator for the test. You may not share

calculators or use any type of communication device in place of a calculator. Tests cannot be made up for any reason other than an NWFSC

event for which you must miss class. If you miss one test, your final exam score will be

substituted. A second missed test is a zero.

Exam Topics

Objective Section Suggested Text Problems1) Given interval notation, write inequality notation. Pre. –

Topics Page 17: 77, 85

2) Find the domain of a rational expression Pre. – Topics

Page 18: 141, 143, 145, 147

3) Solve a linear equation. Pre. – Topics

Page 165: 1, 3, 7

4) Complete the square. 1.4 Page 129: 47, 49, 515) Solve a quadratic equation using the quadratic formula.

1.4 Page 165: 35, 41

6) Use the discriminant to determine the number and type of solutions of a quadratic equation.

1.4 Page 165: 47, 49

7) Solve projectile motion problems. 1.4 Page 130: 178) Solve equations graphically. 1.5 ----9) Solve rational equations. 1.5 Page 143: 29, 3110) Solve radical equations involving one radical 1.5 Page 165: 52, 5511) Solve equations using substitution. 1.5 Page 143: 65, 6712) Solve a linear inequality. 1.6 Page 165: 7713) Solve an absolute value equation. 1.7 Page 162: 17, 2114) Solve an absolute value inequality. 1.7 Page 166: 99, 101, 103

To study for the test:

• Complete all assigned homework. Remember that a score of at least 70% on each assignment gives you 10 bonus points on the test.

• Complete the practice test and check your solutions.• Set up a study system (note cards for example) for each

of the 14 objectives in the chart above.• Review your notes and applicable problem set questions

for each of the 14 objectives in the chart above.• Work the suggested text problems for each of the 14

objectives in the chart above.

1) Write the inequality notation for each interval. You do not have to graph the inequality.

a)

c)

d)

2) Find the domain of each rational expression. Write your answer in interval notation.

a)

3) Solve.

4) Indicate the constant that is needed to complete the square.

a)

5) Solve by the quadratic formula:

6) Use the discriminant of the quadratic equation to determine the number and type of

solutions of the equation.

7) The height of a ball after t seconds when thrown straight up is given by the function

When will the height of the ball be 40 feet?

• You can solve this on the graphing calculator or by using the quadratic formula. On the graphing calculator:

1. Place the function in Y12. Place 40 in Y23. Graph the function using a window that is large enough to

see the curve and the two intersections. [0,10] for x and [0, 200] for y works well.

4. Use 2nd calc 5 twice to find both points of intersection. The x coordinates are the two times.

7) (Quadratic Formula)

8) Use the intersection-of-graphs method to find the approximate solution to the equation. Please round

your answer to the nearest thousandth.

9) Solve (do not cross multiply):

10) Solve.

You could also solve by substitution.

11) Solve.

12) Solve.

13) Solve.

14) Solve.

Additional Practice (Worksheet 6)1) Solve.

𝑥2+10 𝑥=−4

2) Solve graphically.

−2 (π −√3 )𝑥+4=4 3√2𝑥−0.2

3) Find the discriminant and determine the number and type of solutions.

8 𝑥2−8 𝑥+2=0

4) The height of a ball after t seconds when thrown straight up is given by the function

When will the ball reach a height of 70 feet?

On the graphing calculator

5) Solve by substitution.

𝑥23−11𝑥

13+28=0

𝑥23−11𝑥

13+28=0