Grade 8 state test practice

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The whole practice set for paper. Answers are at the end, shown only if you ask for them.

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  1. No calculator

    Translate the point A(−4,−4)A(-4, -4) by 2 units right and 1 units down. Tap its image A′A'.
  2. No calculator

    Dilate A(3,1)A(3, 1) about the origin with scale factor 2. Tap its image.
  3. No calculator

    yy is proportional to xx. When x=2x = 2, y=10y = 10. Find the constant of proportionality kk in y=kxy = kx.
  4. No calculator

    Solve 3x+3=−183x + 3 = -18. x=  ?x = \;?
  5. No calculator

    A table pairs inputs xx with outputs yy: (x,y)=(5,1),(5,2),(9,3)(x, y) = (5, 1), (5, 2), (9, 3). Is yy a function of xx?
    1. No: the input 5 has two different outputs
    2. Yes: every input has an output
    3. Yes: the outputs are all different
  6. No calculator

    A scatterplot of car age against resale value has r=−0.94r = -0.94. How would you describe the relationship?
    1. Strong, negative, linear: older cars tend to be worth less
    2. Weak, because r is negative
    3. Each extra year causes a fixed loss of value
  7. No calculator

    62⋅65=6?6^{ 2 } \cdot 6^{ 5 } = 6^{?}. What is the exponent?
  8. No calculator

    A square has an area of 225 square units. How long is its side?
  9. No calculator

    Reflect A(3,2)A(3, 2) across the xx-axis. Tap its image.
  10. No calculator

    Two polygons are similar. A side of length 5 corresponds to a side of length 15. Another side of the small polygon has length 9. Find the matching side of the large one.
  11. Rotate A(1,3)A(1, 3) by 90∘90^\circ counterclockwise about the origin. Tap its image.
  12. Two triangles each have a 76∘76^\circ angle and a 50∘50^\circ angle. What can you conclude?
    1. They are similar (AA)
    2. They are congruent
    3. Nothing without side lengths
  13. A gym charges 55 dollars to join and 19 dollars per month. Write the total cost yy after xx months.
  14. How many solutions has 3(x+2)=3x+63(x + 2) = 3x + 6?
    1. Infinitely many
    2. Exactly one
    3. No solution
  15. f(x)=2x2+3f(x) = 2x^2 + 3. Find f(−3)f(-3).
  16. r=0.6r = 0.6, sx=15s_x = 15 and sy=16s_y = 16. Find the slope of the least-squares regression line of yy on xx.
  17. Write 5−15^{-1} as a fraction.
  18. Which number is irrational?
    1. 2\sqrt{ 2 }
    2. 4\sqrt{ 4 }
    3. 0.1‾0.\overline{ 1 }
  19. △ABC≅△DEF\triangle ABC \cong \triangle DEF with AB=3AB = 3, BC=11BC = 11 and CA=18CA = 18. Find DEDE.
  20. Find the slope of the line through (6,2)(6, 2) and (9,8)(9, 8).