Name: ______________________________

Summer Math Expectations Packet for HONORS ALGEBRA • The problems below are math concepts you should have already mastered. This packet will be collected the

first week of school and you will be assessed on these concepts. If you are having difficulty on these problems,

you may wish to visit http://www.khanacademy.org/. This website provides tutorials and practice problems

for many math concepts.

• You will be required to have a scientific calculator at the start of the semester. (Recommended calculator, but

not required: Texas Instruments TI83, TI83plus, TI84, or TI84plus silver edition.)

This packet should all be done with NO CALCULATOR

Learning Target 1: I can add, subtract, multiply and divide fractions without a calculator.

1) 1 3

4 5+

2) 5 3

8 10−

3) 1 4

3 12i 4)

5 3

14 7÷

Learning Target 2: I can use order of operations to evaluate expressions without a calculator.

5) 24 8 2 4+ ÷ i

6) ( )64 8 1 4− + 7) 381 8 6 2+ −i

8) ( )218 4 2 9 2+ + ÷ i

9) 1

8 2 49 82

+ − i 10) ( )24 10 678− −

Learning Target 3: I can order numbers including decimals, fractions, integers and radicals from least to greatest

without a calculator.

11) Order from least to greatest.

2

1 2 360% 0.49

2 3 8

12) Order from least to greatest.

2 33 120 2 2 25 2 5

Learning Target 4: I can simplify an algebraic expression.

13) ( )2 25 4 6 3x x x+ −

14) 5 20 10 8x x− − +

15)

2 26 4 4 12 4x x x x− + − +

16) ( )3 4 2x+ +

17) ( )( )4 3 4x x− + 18) ( )24x +

Learning Target 5: I can solve a linear equation.

19) 5 9 39x + =

20) 9 4 21x− =

21) 2(6 7 ) 2 4m m− = −

22) 3

4 85

x − =

23) 10

3 7

x =

24) 7 3

6 7

x x− +=

Learning Target 6: I can graph a linear equation.

25) 2 3y x= −

26) 2

13

y x= − + 27) 4 2 10x y+ =

28) 4y = −

29) 3x = 30) �� � 2� ��

�� 1�

31) Match the line with the correct slope.

Slope Letter of

Line

-2

-1

1

2

3

Learning Target 6: I can write an equation of a line given characteristics of the line.

32) Write an equation of a line passing through the points (0,-2) and (4,-1). Write the equation in slope-intercept form.

33) Write an equation of the line graphed below. Write the equation in slope-intercept form.

d b

a c

Learning Target 7: I can write an algebraic equation based a verbal expression or other given information. I can solve

the equation.

34) The product of 5 and a number

decreased by 17 is 88. What is the

number?

35) The sum of half a number and 6 is

12. What is the number?

36) Nine less than the quotient of a

number and 3 is 4. What is the

number?

37) Jillian receives a final grade based on her semester

test scores and her final exam. Semester test scores

account for 80% of her grade and the final exam accounts

for 20%. Write an equation and solve this equation to

determine what final exam score Jillian will need to earn a

final grade of 80% if her semester test scores are currently

averaging 82%.

38) When getting into shape by exercising, a person’s

maximum recommended number of heart beats per

minute (h) can be determined by subtracting the subject’s

age (a) from 220 and then taking 75% of that value. Write

an equation for this relation using h and a.

Learning Target 8: I can factor an expression completely.

39) Factor the expression below:

� 8 15

40) Factor the expression below: � � 16

41) Factor the expression below:

12�� 8��� � 20����

See next page for questions that will be

collected at the beginning of the semester!

The following are a few open ended questions we will be collecting at the beginning of the

semester. Write neatly and explain clearly.

1. Explain in complete sentences how to add fractions.

2. Explain in complete sentences how to multiply fractions.

3. When graphing a line, explain how does the line change when the slope changes.

4. When graphing a line, explain how the line changes when the y-intercept changes.