Algebra 1 -Feb 2020

Solving Equations- Part 1

100

13 + x = 27

X=14

200

Solve the equation 7 = 2 + 5(z - 2).

Z=3

300

Solve 42 + w = -27.

W= -69

400

Translate ''two times a number is six times the sum of z and y'' into an equation, inequality, or formula.

2x=6(z + y)

500

7(x - 5) = (2x + 10)

X=9?

Solving Equations- Part 2

100

Solve 15 + a = 10.

a = -5

200

Write an equation for the following sentence. Two-thirds of a number is 24.

2/3x = 24

300

Solve 2x = -10.

x = -5

400

(3/5)x = 21

x = 35

500

(a+5)/6 = 4

a = 19

Recognizing & Extending Arithmetic Sequences

100

Determine if this is an arithmetic sequence. If it is find the common difference.

11,4,-3,-10...

Yes it is arithmetic

d = -7

200

Determine if this is an arithmetic sequence. If it is find the common difference.

4,8,16,32,64...

No it is not arithmetic

300

Write the next 2 terms in the sequence

7,14,21,28,...

35,42

400

Use the rule

a_n= -5+(n-1)(-2) to find the 8th and 20th terms

8th term = -19

20th term = -43

500

Find the 12th term of the sequence

3,10,17...

12th term= 80

Find the X and Y Intercept

100

Find the X intercept for 3X + 4Y = 12

X=4

200

Locate the X and Y Intercepts.

X + 2Y = 8

X = 8

Y = 4

300

Find the X Intercept

11x -33y = 99

x = 9

400

Find the Y intercept

-7x-8y = 56

y = -7

500

Find the X and Y intercepts.

3x - 7y = 21

x = 7

y = -3

Writing & Solving Proportions

100

Find X

3/4 = X/100

X = 75

200

Find Z

42/56 = 63/Z

Z = 84

300

Solve the proportion:

5.5/x = 1.375/11

x = 44

400

The scale of a map is 1/2 inch = 10 miles. What is the distance between two cities that are 4 1/2 inches apart on the map?

90 miles

500

In a scale drawing, a kite is drawn with the length of the tail 9 cm. If the scale of the drawing is 1cm:10cm, find the length of the actual kite?

90 cm