Math Midterm

Find the slope of the line.

-1/4

Describe the solutions of -10+x>-3

-10+x>-3 +10 +10 —————— x>7 The value of x is greater than 7

Solve the inequality y+2-2y<-4 and graph the solutions

-1y+2<-4 -2 -2 —————— -1y<-6 — — -1 -1 y>6

Find the slope of the line that contains the point (-1, 2) and (-4, and 8)

-2

Give two ways to write the expression 19c in words

1) 19 times c 2) the product of c and 19

Give two ways to write te algebraic expression y➗ 23 in words

1) y divided by 23 2) the quotient of y and 23

Salar's Choir class is performing a concert. He wants to buy as he can afford. If tickets cost $2.50 each and he has $11.75 to spend, how many tickets can he buy?

11.75/2.50 X is less than or equal to 4. 4 tickets

Find three consecutive integers such that twice the greatest integer is 9 less than 3 times the least integer.

13,14,15

A pipe is leaking at the rate of 32 fluid ounces per minute. Use dimensional analysis to find out how many gallons the pipe is leaking per hour

15 gal/ 1 hour

Solve 15n=90. Check your amswer

15n=90 —— —— 15 15 n=6

Isabel reads 17 books from the library each month for x months in a row. Write an expression to show how many books Isabel read in all. Then, find the number of books Isabel read if she read for 10 months

17x x=10 17✖️10 TOTAL= 170

Mrs. Williams is deciding between two field trip for her class. The Science Center charges $180 plus $3 per student. The Dino Discovery Museum simply charges $6 per student. For how many students will the Science Center charge less than the Dino Discovery Museum?

180+3x<6x -3 -3 ——————— 180<3x —— —— 3 3 60<x ➡️ x>60

Find the value of MN if AB=18cm, BC=14.4, and LM= 24. ABCS~ LMNO

18x/18= 345.6/18 x=19.2

A professional cyclist is training for the Tour de France. What was his average speed in kilometers per hour if he rode the 194 kilometers from Laval to Blois in 4.6 hours? Use the formula to the nearest tenth

194/4.6=4.6/4.6 194➗4.6= 42.17➡️ 42.2 km/hr

Ramona wrote 19 letters to friends each month for p months in a row. Write an expression to show how many total letters Ramona wrote

19p

Solve -0.4-3.2x is greater than or equal to 1.2 -2.8x

2 is greater than or equal to x

Use the graph of the function f(x)=2x+2 to find the value of y when x=2

2(2)+2 4+2 6

Evaluate the expression 2p+q for p=7 and q=9

2(7)+9 ➡️ 14+9= 23

A farmer's total payment for tools and compost over the course of two years is $23,394. Write and solve an equation to find the payment for the second year if the first year's payment is $10,705.

23,394-10,705=n n= 12,689

Solve the inequality 2c-3>1

2c-3>1 +3 +3 ————— 2c>4 — — 2 2 C>2

Complementary angles are two singles whose measures add to 90 degrees. The ratio of the measures of two complementary angles is 2:13. What are the measures of the angles?

2x+13x=90 15x/15=90/15 x=6 2(6)=12 13(6)=78 The angle measures are 12 & 78

Evaluate the expression a➗b for a=30 and b=5

30➗5 6

Carmen scored 37 points in the first half of the basketball game, and she scored n points in the second half of the game. Write an expression to determine the number of points she scored in all. Then, find the number of points she scored in all if she scored 15 points in the second half of the game.

37+15=n n=52

Solve the inequality 3x > 6 and graph the solutions

3x>6 — — 3 3 x>2

Evaluate the expression j-h for j=5 and h=4

5-4= 1

Solve 5/10x= 51

5/10= 51/x 51✖️10➗5; 510➗5= 102

The graph shows a linear relationship. Find the slope.

5/2

Evaluate the expression xy for x=6 and y=3

6(3) 18

Solve the inequality 6x<2x+20 and graph the solutions

6x<2x+20 -2x -2x —————— 4x<20 — — 4 4 X<5

Devon pays $24.95 for her roller skates. After that she pays $5.95 for each visit to the roller rink. What is the greatest number of visits she can afford if the total amount she spends cannot be more than $66.60?

7

If 9y-1=26, find the value of 3y

9

Graph the inequality n<-2.8

<———⭕️ <——|——|——|——> -3 -2.8 -2

Find te 16th term in the arithmetic sequence 2, -1, -4, -7, -10...

A16= -43

Solve the inequality |x-15|+9>8

All real numbers

Solve the inequality -4(k-5) is greater than or equal to -4K+5

All real numbers

Solve m+3=98 check your answer

m+3=98 -3 -3 ——————- m=95

Solve m/4=31 check your answer

m/4=31✖️4 m=124

Solve 3m-3-2m=8+4m

m=-11/3

Give the domain and range of the relation

D: -7, 0, 3, 8 R: -13, 0, 7, 17

Give the domain and range of the relation. Tell whether the relation is a function

D: 0, 1, 2 R: -3, 0, 1, 6 NOT A FUNCTION

A car slows down to avoid a hole in the road and the travels at a constant speed. Choose the graph that best represents this situation

Graph A

Find the slope of the line.

Undefined

Solve 5 |x-2|=20

|x-2|=4 x-2=4 OR x-2=-4 x+2. +2. +2 +2 —————. ————— x=6. x=-2

Solve the inequality y/5 less than or equal to 2 and graph the solutions.

y/5 less than or equal to 2 ✖️ 5 Y less than or equal to 10

The value of y varies directly with x, and y= -3 when x=9. Find y when x=12

y=-4

Find the x-intercept and y-intercept of -x-5y=-5

y=1 and x=5

Solve |7x-7|+ 7= 4

|7x-7|+ 7= 4 -7 -7 ————————— |7x-7|= -3 No solution

Describe the correlation illustrated by the scatter plot

Positive

Solve the inequality d-5.5>1 and graph the solutions

d-5.5>1 +5.5 +5.5 ——————— d>6.5

Tell whether the set of ordered pairs {(1, 7), (3, 11), (5, 16), (7, 23)} satisfies a linear function. Explain.

NOT A LINEAR FUNCTION

Determine whether the sequence appear to be an arithmetic sequence. If so, find the common difference and the next three in the sequence. -6, 3, 9, 17, 24,.....

NOT ARITHMETIC

Solve -3x-3-7x=-8-10x+15. Tell whether the equation has infinitely many solutions or no solutions

No Solutions

Solve and graph the compound inequality x+5 is less than or equal to -3 OR -1+x>-7

X is less than or equal to -8 OR x>-6

Solve 13=5-2x

X=-4

Graph the function y=2x-2

X=1

Write the equation that describes the line in slope-intercept form. Write slope= -2 and (5,4) is on the line.

Y=-2x+14

Tell whether te equation represents a direct variation. If so identify the constant of variation 6x=9y

Yes; k=2/3

Solve the inequality 2a is less than or equal to -12 and graph the solutions.

a is less than or equal to -6

Solve q-5=44. Check your answer

q=49

Solve the inequality u/-3 is less than or equal to -2 and graph the solutions

u/-3 less than or equal to -2 ✖️ -3 u is greater than or equal to 6

Write the inequality shown by the graph

x greater than or equal to -1.5

Carlotta subscribes to the HotBurn music service. She can download no more than 12 song files per week. Carlotta has already downloaded 10 songs files this week. Write, solve, and graph an inequality to show how many songs Carlotta can download.

x is less than or equal to 2

Solve the inequality |x-4|-2<6 and graph the solutions. Then write the solutions as a compound inequality.

x<12 AND x>-4 ; -4<x<12

Solve and graph the compound inequality x-4<2 AND x+6 is greater than or equal to 7

x<6 AND x is greater than or equal to 1

Use intercepts to graph the line described by the equation -4x+4y=16

x=-4

The fuel for a chain saw is a mix of oil and gasoline. The ratio of ounces of oil to gallons of gasoline is 5:14. There are 28 gallons of gasoline. How many ounces of oil are there

x=10

Solve the proportion 2/6= x/42

x=14

Solve 49x-40=55x-70

x=5