Question 1010063: Semester 1 Review Equations
Inequalities
Transformations
Angles Pairs from Parallel Lines
Triangle Angle Sum
1. Are the expressions equivalent? 2(x-1)+6x & -2(1-4x) 2. Solve for t. 3t – 10 = -5t + 6 3. What value of x makes the equation true? 3 4x+5=-1 4. What best describes the solution for the equation? 2(5w-1 2)=10w-1 5. What value makes the equation true? 1 4(4x−1)=2x+1 8
6. Jenny has a $40 ice cream gift card. Each time she uses the card to buy a cone, $2 is deducted from the card. If her balance is $24, how many cones has she purchased with the card? 7. Adam’s age is 3 years less than half of Katie’s age. If Adam is 9 years old, what is Katie’s age? 8. Solve for x in 2x + 3y = 10. 9. Solve for w in 2wx-5y= 8
Solve each inequality and graph the solutions 1. 0.5(b-2) ≤ 4 2. -3(-2-x) ≥ 6(x + 1) 3. Carl’s Cable Company charges a $55 monthly service plus $4 for each pay-per-view movie. Teleview Cable Company charges $110 per month with no fee for movies. For what number of movies is the cost of Carl’s Cable Company less than the cost of Teleview?
4. Hanna has a savings account with a balance of $210 and deposits $16 per month. Faith has a savings account with a balance of $175 and deposits $20 per month. Write and solve an inequality to determine the number of months Hanna’s account will be more than Faith’s account balance. 5. 2(1-w) > -2(1+w) 6. m+3 2 <−4
s r
t
1 2 4 3 5 6 8 7
Name a pair of: 1. Vertical Angles 2. Same Side Exterior Angles 3. Corresponding Angles 4. Consecutive Angles 5. State whether the angles above are congruent or supplementary.
6. If m<3 = (7x+9)° and m<5 = (10x −6) °, what is the value of x? 7. If m<8 = 106° and m<3 = (6x −4) °, what is the value of x? 8. If m<6= 94° what is the measure of <3?
2x 40°
3x+10° 50°
7x°
Using coordinates in the diagram to the left: 1. Rotate 90° 2. Reflect about the x-axis 3. Translate vertically positive 3 4. Dilate scale factor 3 5. Rotate 180° 6. Reflect about the y-axis 7. (x+2, y-6)
8. Rotate 90° counterclockwise 9. Translate horizontally left 7 10. Dilate scale factor 1 2 11. Describe the transformation in the diagram to the right. 12. Who is segment QR congruent to?
1. Are the following dimensions of a right triangle? 4cm, 7cm, 10cm 2. Are the following possible lengths for a right triangle? 5 cm, 12 cm, 13 cm 3. The length of two sides of a right triangle are leg: 9 m and hypotenuse: 15 m. Find the length of the third side.
4. Find the side length of the smallest square.
5. Find the distance.
1. The area of a square garden is 124 square feet. Estimate the side length of the garden. 2. Simplify 20x+2 45x 3. Simplify 30· 12 4. Simplify 133+62 5. Simplify 27 - 4 12
6. Simplfy 27 3 . 7. Simplify 11 7 8. Simplify 50x3y4 9. Which point on the number line is closest to 17? 10. Which point on the number line is closest to 31?
Exponents
Scientific Notation
Radicals
Real Numbers
Pythagorean Theorem
Volume of Spheres
1. What is 0.0000267 in scientific notation? 2. What is 4.72×105 in standard form? 3. Multiply 3,000 x 250,000. Write your final answer in scientific notation. 4. Find the product (4.2×10-2)×(3×107). 5. Find the quotient 1.6×104 2×109 .
6. A virus is viewed under a microscope. Its diameter is 0.0003 cm. How would this be expressed in scientific notation? 7. A box contains 3×104 staples. The mass of each staple in the box is 6×10−5. What is the combined mass of the staples in the box?
1. What is the decimal expansion of 4 11? 2. Which fraction is equivalent to 0.95? 7 20, 1 4, 9 20 3. What is -1.65 as a ratio of two integers? 4. What is the best estimate of 7? 2.6,2.4,2.9,7.2 5. Which number is not an irrational number? 10,𝜋,9,6 6. Which number is a not rational number? 1 3,11,4,35%
7. Which symbol makes this sentence true? 8 3.26 > = < 8. Order the following numbers from least to greatest: 3.6, 5 2, 10 9. Order the following numbers from least to greatest: 𝜋,33%,7 3,6
1. A cylinder storage tank has a diameter of 8 ft and a radius of 6 ft. What amount of fuel can the tank hold? 2. What is the volume of a hemisphere with a diameter of 6 meters? 3. A cylinder has a volume of 300𝜋 and a diameter of 10 meters. What is its height?
4. Find the volume of the geometric solids. Approximate to the nearest whole number
Answer by ikleyn(52775)   (Show Source):
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