Free Printable Week 1 Algebra 1

1.

Match the following.

a)

Solution

1.

A value that makes the equation true

b)

Equation

2.

A statement that 2 expressions are equal

c)

Equivalent Equations

3.

Equations that have the same solution

d)

Linear equation in one variable

4.

Equation that can be written ax + b = 0

2.

Reorder the following.

a)

I can

b)

apply

c)

properties of equality

d)

to produce

e)

equivalent equations.

1)

2)

3)

4)

5)

3.

Match the following.

a)

Developing

1.

I can apply properties of equality...

b)

Proficient

2.

I can solve linear equations...

c)

Advanced

3.

I can write linear equations...

4.

I can (a) linear equations using addition, subtraction, multiplication, or division.

5.

How can we make sense of the dual role of variables? (Their capacity to represent an unknown but particular number and to take on many possible values.)

4 lines

6.

Solve $-\frac{b}{9}=3$

7.

Solve -1.8t = -4.5

8.

Solve $w\ -\frac{1}{4}=-\frac{5}{6}$

9.

Solve $g\ -\frac{1}{3}=-\frac{2}{3}$

10.

Solve $-6.5=p+3.9$

11.

VOCABULARY Are the equations 6x = - 5 and - 1 = 6x + 4 equivalent?

The equations (a) equivalent.

Choose from the below words

are

are not

12.

Solve the equation.

$z\div25\ =\ -4.5$

13.

Solve the equation.

$9\pi=\pi x$

14.

WHICH ONE DOESN'T BELONG?

Which equation does not belong with the other three?

a)

$8=\frac{x}{2}$

b)

$3=x\div4$

c)

$x-6=5$

d)

$\frac{x}{3}=9$

15.

You thought the balance in your savings account was $68.33, but you forgot to record a withdrawal. Your statement lists your balance as $26.33. How much was the withdrawal that you forgot to record?

16.

Solve $x+5=8$

a)

-3

b)

13

c)

8

d)

3

17.

How do you solve $x+5=8$ .

a)

Add 5 to each side.

b)

Add 8 to each side.

c)

Subtract 5 from each side.

d)

Subtract 8 from each side.

18.

MODELING REAL LIFE

An amusement park offers a ticket for $12.95 off the original price p. Write and solve an equation to find the original price.

The equation is (a) .

The original ticket price is (b) .

Choose from the below words

p - 12.95 = 44

$56.95

p + 12.95 = 44

$44.00

$12.95

12.95 - p = 44

19.

Solve $-\frac{x}{6}=1.4$

20.

How do we solve $-\frac{x}{6}=1.4$ ?

a)

Divide each side by 6

b)

Multiply each side by -6

c)

Divide each side by 5

d)

Multiply each side by -5

21.

How do we solve $2a=\frac{1}{5}$ ?

a)

Divide each side by 2

b)

Multiply each side by 2

c)

Divide each side by 5

d)

Multiply each side by 5

22.

Solve $f+3\pi=7\pi.$ Write your answer in terms of $\pi.$

a)

4

b)

$10\pi$

c)

$4\pi$

d)

$-4\pi$

23.

ERROR ANALYSIS

Describe and correct the error in solving the equation in the photo.

4 lines

24.

USING TOOLS

The sum of the angle measures of a quadrilateral is 360 degrees. Write and solve an equation to find the value of x in the photo.

The equation is (a) (b) . x = (c)

Choose from the below words

360

$x+100+120+100=$

40

100

120

x - 360

x + 360

25.

REASONING One-sixth of the girls and two-sevenths of the boys in a school marching band are in the percussion section. The percussion section has 6 girls and 10 boys. How many students are in the marching band?

26.

ANALYZING RELATIONSHIPS

As c increases, does the value of x increase, decrease, or stay the same for each equation? (Assume c is positive.)

Match the following.

a)

$x-c=0$

1.

increase

b)

$cx=1$

2.

decrease

c)

$cx=c$

3.

stay the same

Week 1 Algebra 1

Total questions: 26

Worksheet time: 7hrs 30mins

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