Download ALGEBRA 1 REVIEW WORKSHEET 4.1 TO 4.3 Name WRITE AN

ALGEBRA 1 REVIEW WORKSHEET 4.1 TO 4.3
Name
WRITE AN EQUATION IN SLOPE-INTERCEPT FORM FOR THE LINE WITH THE GIVEN
SLOPE AND y-INTERCEPT.
1.
Slope: ½
y-int: -3
2.
Slope: -7
y-int.: 2
FIND THE SLOPE AND y-INTERCEPT OF EACH LINE. THEN WRITE AN EQUATION IN
SLOPE-INTERCEPT FORM FOR EACH GRAPHED LINE.
3.
m = _____ b = _____
4.
m = _____ b = _____
FIND THE SLOPE AND y-INTERCEPT OF EACH LINE. THEN WRITE A SLOPE-INTERCEPT
EQUATION OF THE LINE THAT PASSES THROUGH THE GIVEN POINTS.
5.
(3, 1), (0, 10)
m = _____ b = _____
6.
(2, 6), (0, 3)
m = _____ b = _____
FIND THE SLOPE AND y-INTERCEPT OF EACH LINE. THEN WRITE A LINEAR FUNCTION
WITH THE GIVEN VALUES.
7.
f(0) = 3, f(2) = 5
8.
m = _____ b = _____
f(0) = -4, f(5) = 3
m = _____ b = _____
FOR EACH OF THE FOLLOWING, DEFINE TWO VARIABLES, LIST THE SLOPE AND
y-INTERCEPT, AND WRITE A LINEAR MODEL IN THE FORM y = mx + b. THEN USE THE
MODEL TO ANSWER ANOTHER QUESTION OR QUESTIONS.
9.
Suppose you receive $100 for a graduation present, and you deposit it in a savings account. Then each
week thereafter, you add $5 to the account but no interest is earned. The amount in the account is a
function of the number of weeks that have passed.
x=
y=
m ________ b _________
Model:
Use the model to determine when you will have $320 in the account.
10.
Nick is given $90 to spend on a vacation. He decides to spend $15 a day. The amount Nick has left
and the number of days are related.
x=
y=
m ________ b _________
Model:
Use the model to find out when Nick will have $30 left.
(A) WRITE AN EQUATION IN POINT-SLOPE FORM OF THE LINE THAT PASSES THROUGH
THE GIVEN POINT AND HAS THE GIVEN SLOPE.
(B) THEN WRITE THE EQUATION IN SLOPE-INTERCEPT FORM
11.
(2, 6), m = 3
12.
(5, -6), m = -3
(A) WRITE AN EQUATION IN POINT-SLOPE FORM OF THE LINE THAT PASSES THROUGH
THE GIVEN POINTS
(B) THEN WRITE THE EQUATION IN SLOPE-INTERCEPT FORM
13.
(7, 2), (2, 12)
14.
(6, -2), (12, 1)
FOR EACH OF THE FOLLOWING, DEFINE TWO VARIABLES, LIST THE 2 GIVEN POINTS,
AND FIND THE SLOPE. THEN WRITE A LINEAR MODEL IN POINT-SLOPE FORM. THEN
CHANGE THAT EQUATION INTO SLOPE-INTERCEPT FORM. THEN USE THE MODEL TO
ANSWER ONE OR MORE EQUATIONS.
15.
After flying for 20 minutes, a plane’s altitude is 30,000 feet. After flying for 30 minutes, the plane’s
altitude is 20,000 feet. The plane’s height above the ground is a function of the number of minutes
flown.
x=
y=
point 1
point 2
A)
Point-Slope Equation:
B)
Slope-Intercept:
m
What does the slope represent in the context of the problem?
If the plane continues its descent at a constant rate, how many minutes will it have flown until it reaches
an altitude of 1,000 feet?
16.
Jana had her birthday party at the local water park. There were six total people at her party and the cost
was $290. Jared also had his birthday party there. He had 10 total people and the cost was $350. The
total cost of the birthday party is a function of the number of people at the party.
x=
y=
point 1
point 2
A)
Point-Slope Equation:
B)
Slope-Intercept:
m
What does the slope represent in the context of the problem?
Use the slope-intercept equation to determine the cost of having 8 people at the party.
FOR EACH OF THE FOLLOWING:
A)
FIND THE SLOPE OF THE GIVEN LINE
B)
FIND THE SLOPE OF A LINE PARALLEL TO THE GIVEN LINE
C)
FIND THE SLOPE OF A LINE PERPENDICULAR TO THE GIVEN LINE
17.
y = 2x + 3
18.
y=½x–5
19.
y= 
A)
A)
A)
B)
B)
B)
C)
C)
C)
3
x +2
4
FOR EACH OF THE FOLLOWING:
A)
PUT THE EQUATION INTO SLOPE-INTERCEPT FORM
B)
FIND THE SLOPE OF THE GIVEN LINE
C)
FIND THE SLOPE OF A LINE PARALLEL TO THE GIVEN LINE
D)
FIND THE SLOPE OF A LINE PERPENDICULAR TO THE GIVEN LINE
20.
23.
2x + 3y = 12
21.
5y + 3x = 25
22.
x – 2y = 14
A)
A)
A)
B)
B)
B)
C)
C)
C)
D)
D)
D)
(1, 2); y = -4x + 5
Slope of the given line:
Slope of a line parallel to the given line:
Point-Slope Equation for the line parallel to the given line passing through the given point:
Slope-Intercept Equation for the line parallel to the given line passing through the given point:
24.
(10, 1); 2y + 5x = 12
Slope of the given line:
Slope of a line perpendicular to the given line:
Point-Slope Equation for the line perpendicular to the given line passing through the given point:
Slope-Intercept Equation for the line perpendicular to the given line passing through the given point: