Sample Algebra 1 Review Worksheet

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 Name _____________________________ Algebra I
 1 Subtract 8j2 - 7j - 2 from -12j2 + 9j - 6.
2.   Simplify.
4
 1649

3.   Graph the equation.
 -12
y  -  2
 12
= x

4.
 The equation g + b = b + g
is an example of which of the following?

 the associative law
 identity property
 the communitive law
 distributive property
 inverse property

 5 Nicole is one-half as old as she will be in eight years. How old is Nicole?
6.   Complete and write in lowest terms.
 5e+06
+
 6e + 324

 7 Solve.96.6 + y   =   175.5
8.   Solve the equation by factoring.
 22x + 111 = -x2 - 9

 9 Simplify.(6p4)(-4p5e5)
 10 Solve the system by graphing. Find the vertices of the graph.3x - 5y    104x + 3y    -647x - 2y    -25
 11 Find the vertex and axis of symmetry of the parabola.-x2 + 8x - 2 = 0
 12 Solve the system of equations using the elimination method.19x - 9y = -16319x - 3y = 47

 13 The complement of angle x is eighteen degrees less than three times the measure of angle x. The supplement angle x is forty-five degrees more than four times the measure of angle x. What is the measure of angle x?
 14 Shelby met her friends at the coffee house and bought three cups of latte and two cups of regular coffee for a total of \$17.24. Each cup of latte costs \$0.83 more than one cup of regular coffee. How much does one cup of latte cost?
 15 Complete.f(x) = -14x3 - 13x2 + 11x - 14g(x) = -11x3 - 13x2 + 11x + 15find g(-7) × f(6) + f(11) × g(10)
 16 The sum of a number and a number that is two-thirds of the first number is fifteen. What are the numbers?
 17 Factor out the GCF from the polynomial.18x3 - 20x
 18 Multiply.7x (12x2 + 10x + 12)

19.   Write a quadratic equation that has the given roots.
 { 12 , -1 }

 20 Solve the system of equations.10x + 9y - z = -43-8x - 6y - 12z = 1527x + 11y - 3z = 0
21.   Simplify.
 (-6d3b4)(-3d4b3)(-12d3)(3d6)

 22 Write the slope-intercept form of the equation.x + 4y = 8
 23 Solve the inequality.4x2 + 12x + 5  >  0
 24 There are five consecutive odd integers. The sum of the first two numbers is thirty-five less than the sum of the last three numbers. What are the integers?

25.   Find the distance between P and Q and the coordinates of the midpoint between the two points.
P
(
6

 5
,
12

 2
)
and
Q
(
10

 5
,
18

 2
)

26.   Write the fraction in lowest terms.
 14b535b3

 27 Factor completely.x2 - 13x + 30
 28 A two-digit number when read from left to right consists of consecutive integers. The number is thirty-four more than two times the sum of its digits. What is the number?
 29 Today, EdHelper Airlines has flown seventy-eight flights, with eighteen more flights to depart. Seventy-one of departed flights arrived on-time. If EdHelper Airlines wants to achieve a eighty-eight percent on-time arrival for the entire day, how many of the rest of the departing planes need to arrive on-time?
 30 Solve.x + 70   =   89

 31 Zachary has a total of thirty-six pennies and nickels. He has fourteen more nickels than pennies. How much money does he have?
 32 Solve the equation by factoring.x2 + 3x - 108 = 0
 33 Solve for d:7.9(11.4 + 3.8d) = -30.02
 34 A total of \$3,038 was to be divided in the ratio of 2:7:4:1. How will the money be divided?
35.   The number of CDs that 8 students own are 15, 15, 33, 33, 12, 30, 55, and 15. Which of the following is true?

 The mode is equal to the mean.
 The mode is 15
 The mean is 15
 The mean is equal to the median.
 The median is 30

 36 In isosceles triangle IHE, mI is twenty-four degrees less than mH. I is one of the congruent angles. What is the measure of each angle in triangle IHE?

37.   The expression -20i15 ÷ -4i3 is equivalent to:

 -16i5
 5i5
 5i18
 5i12
 17i12
 -16i12

38.   What is the length of a diagonal of a rectangle whose dimensions are 5 by 8?

 40

 89

3
 97
 6

 96

 34

39.   Write a compound function for the absolute value function.
 f(x) = | -17 x + 4 |

 40 Add.(14x + 6) + (20x + 9)
41.   A rectangle is three inches long by fourteen inches wide. What is the length of the rectangle's diagonal?

4
 42
inches

 42
inches

 84
inches

 205
inches

 17 inches

 42 15.4 added to four times a number is 48 1/5. What is the number?