1. Addition: a. x - 5 = 10

b. s - 4 = 6

c. y - 11 = 24

d. t - 8 = 9

2. Subtraction:

a. x + 2 = 10

b. s + 4 = 6

c. y + 17 = 24

d. t + 3 = 118

3. Multiplication

a. 1/5x = 10

b. 1/2s = 8

c. 1/2t = 6

d. 1/4 y = 20

4. Division

a. 4x = 36

b. 13x = 52

c. 5x = 25

d. 10x = 120

5. Mixed Practice

a. x + 9 = 7

b. 23 - y = 44

c. s + 19 = 26

d. m - 40 = 20

e. z + 100 = 100

f. x + 22 = 23

g. s - 4 = 96

h. 1/4x = 4

i. 24x = 3

j. 1/10x = 50

k. 1/11y = 33

l. t + 14 = 16

m. t - 1 = 16

n. 1/2q = 8

o. 15t = 24

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (–4, 0) and (6, 0). the y-intercept of the first parabola is (0, –12). the y-intercept of the second parabola is (0, –24). what is the positive difference between the a values for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth

Atest of sobriety involves measuring the subject's motor skills. a sample of 31 randomly selected sober subjects take the test and produce a mean score of 64.4 with a standard deviation of 2. a claim is made that the true mean score for all sober subjects is equal to 65. for each part below, enter only a numeric value in the answer box. for example, do not type "z =" or "t =" before your answers. round each of your answers to 3 places after the decimal point. (a) calculate the value of the test statistic used in this test. test statistic's value = (b) use your calculator to find the p-value of this test. p-value = (c) use your calculator to find the critical value(s) used to test this claim at the 0.2 significance level. if there are two critical values, then list them both with a comma between them. critical value(s) =

What is the value of x? enter your answer, as a decimal, in the box. x=