Math Summative Reviews: Units 1-8
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Questions and Answers

What is the result of the expression $5 imes 3 - [18 - (-6)] mod 3$?

  • 7 (correct)
  • 3
  • 11
  • 17
  • -(-2)² = 4 is a true statement.

    False

    What is 25% of the number if it equals 66.25?

    265

    The first differences of the data indicate that the relationship is ________.

    <p>linear</p> Signup and view all the answers

    Match the fractions to their decimal and percent equivalents.

    <p>38/100 = 0.38 -65/100 = -0.65 4 1/5 = 4.2</p> Signup and view all the answers

    If the original price of football equipment is $588 and it is on sale for 25% off, what will the total cost after adding 13% tax be?

    <p>$509.20</p> Signup and view all the answers

    In the expression $(-1)^{24} = -1$ is correct.

    <p>False</p> Signup and view all the answers

    The equation y = 2 - 5x represents a non-linear function.

    <p>False</p> Signup and view all the answers

    The equation of the line that passes through the points (-3, -5) and (1, 7) can be expressed as y = ______x + 4.

    <p>3</p> Signup and view all the answers

    Match each equation type with its correct form:

    <p>4x - 6y + 15 = 0 = Standard Form y = 2/3x + 5/2 = Slope Y-Intercept Form</p> Signup and view all the answers

    The relationship between the value of the car and the years passed is an example of direct variation.

    <p>False</p> Signup and view all the answers

    Identify the slope of the equation y = 1/2x - 3.

    <p>1/2</p> Signup and view all the answers

    What type of correlation is indicated by the data regarding hours watching TV and exam score?

    <p>Negative</p> Signup and view all the answers

    The relationship between the number of hours spent watching TV and exam scores is linear.

    <p>True</p> Signup and view all the answers

    What is the exam score when watching 3 hours of TV?

    <p>93</p> Signup and view all the answers

    The y-intercept of the line of best fit for this data is ______.

    <p>above 100</p> Signup and view all the answers

    Match the equations to their solutions:

    <p>-4(3x+4)=-28 = x = 1 5 (2t-1) + 9 = 2 (t-2) = t = -1 3a/2 + 5 = -3 = a = -17/3 x/3 - 2/4 = x/2 - 1 = x = 3</p> Signup and view all the answers

    How many burgers were ordered if drinks are ordered at a quantity that is 2 less than burgers, and the total amount paid was $49.25?

    <p>11 burgers, 9 drinks</p> Signup and view all the answers

    What is the sum of two consecutive odd numbers such that two times the smaller and five times the larger equals 87?

    <p>11 and 13</p> Signup and view all the answers

    The equation 5(2t-1) + 9 = 2(t -2) has a solution of t = -1.

    <p>True</p> Signup and view all the answers

    What is the simplified form of $7^8 \times 7^4$?

    <p>$7^{12}$</p> Signup and view all the answers

    The expression $(7^6)^5 \times (7^3)^{-5} \div (7^{-2})^{-6}$ simplifies to 343.

    <p>True</p> Signup and view all the answers

    What is the result of solving the equation $n + 18 = 25$?

    <p>7</p> Signup and view all the answers

    The expression for Martin's age in six years will be _.

    <p>x + 6</p> Signup and view all the answers

    Match the following algebraic expressions with their meanings:

    <p>2x - 3 = Double a number decreased by three 10n = Value of n dimes in cents 3n = 24 = A number tripled gives 24 4x + 10 = 10 more than quadruple a number</p> Signup and view all the answers

    What is the simplified form of $2x(4x - 8) - 3x(3x + 2)$?

    <p>$-x^2 - 22x$</p> Signup and view all the answers

    The slope of the line through points A(-6, -4) and B(-2, 0) is calculated as $\frac{4}{4} = 1$.

    <p>True</p> Signup and view all the answers

    What are the two consecutive odd numbers such that the sum of two times the smaller number and five times the larger number is 87?

    <p>11 and 13</p> Signup and view all the answers

    What is the result of the expression (7x4)(-5x2)?

    <p>-35x<sup>6</sup></p> Signup and view all the answers

    The expression 32x6y4z7 / -4x2y2z4 simplifies to -8x4y2z3.

    <p>True</p> Signup and view all the answers

    What is the coefficient of the term 11xy2?

    <p>11</p> Signup and view all the answers

    (2g2h3)×(-3g2h2)2 = ________

    <p>9g<sup>4</sup>h<sup>4</sup></p> Signup and view all the answers

    Match the algebraic expressions with their corresponding evaluations:

    <p>2x - 3 = Double a number decreased by three 10n = The value of n dimes in cents 3n = 24 = A number tripled gives 24 4x + 10 = 10 more than quadruple a number</p> Signup and view all the answers

    What is the simplified form of the expression 11x2 - 2x - 7 + 2x – 17 + 2x2?

    <p>13x<sup>2</sup> - 24</p> Signup and view all the answers

    The term -8mn5 has a coefficient of mn.

    <p>False</p> Signup and view all the answers

    What is the value of x if 5(2t-1) + 9 = 2(t-2) when simplified?

    <p>-1</p> Signup and view all the answers

    What is the solution to the equation $5(2t-1) + 9 = 2(t -2)$?

    <p>t = -1</p> Signup and view all the answers

    The equation $3x - 11 = 37$ has a solution of $x = 16$.

    <p>True</p> Signup and view all the answers

    What two consecutive odd numbers add up to 87 when two times the smaller number and five times the larger number are included?

    <p>11 and 13</p> Signup and view all the answers

    The cost of 11 burgers and 9 drinks totals $49.25. If each burger costs $3.25 and drinks cost $1.50, 11 burgers and 9 ___ were ordered.

    <p>drinks</p> Signup and view all the answers

    Match the algebraic expression to its corresponding simplified form:

    <p>$4^4 × 4^3$ = $4^7$ $(-2)^5 × (-2)^2$ = $(-2)^7$ $6^{26}/6^{21}$ = $6^5$ $5^5/5^3$ = $5^2$</p> Signup and view all the answers

    In the expression $(2g^2h^3)(-3g^2h^2)^2 / (3gh)(6g^2h^2)$, what is the final simplified expression?

    <p>$9g^4h^4$</p> Signup and view all the answers

    The expression $3t^5t^2 + 4tu - v$ has 4 terms and 4 variables.

    <p>False</p> Signup and view all the answers

    The coefficient of the term $-8mn^5$ is ___ .

    <p>-8</p> Signup and view all the answers

    Study Notes

    Summative Review #1: Units 1-2

    • Topics Covered: Basic arithmetic, fractions, decimals, percentages, proportions, independent/dependent variables, correlations, relationships, discrete/continuous data, order of operations (BEDMAS).

    Summative Review #2: Units 3-4

    • Topics Covered: Exponents, polynomials, like terms, distributive property, solving equations, translating words to math problems.

    Summative Review #3: Units 5-6

    • Topics Covered: Slope, Linear vs. Non-Linear relations, Equations of lines, slope-intercept form, standard form, parallel and perpendicular lines, direct/partial variations, x- and y-intercepts.

    Summative Review #4: Units 7-8

    • Topics Covered: Pythagorean theorem, perimeter, area, surface area, volume, angle theorems, triangle properties, quadrilateral properties, polygons (interior and exterior angles), centroids.

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    MPM 1D1 Summative Review #1 PDF

    Description

    Test your knowledge with these summative reviews covering the key concepts from Units 1 to 8 in mathematics. Topics include basic arithmetic, relationships in data, polynomial equations, slope and linear relations, and geometric properties among others. Prepare to evaluate your understanding of essential mathematical principles.

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