Plug in the value of $$x$$ and $$y$$ and use order of operations rule. $$x=2$$ and $$y=-3$$
$$5(4x-3y)-7y^2=5(4(2)-3(-3))-7(-3)^2=5(8+9)-7(9)=5(17)-63=85-63=22$$
For one hour he earns $18, then for t hours he earns$18t. If he wants to earn at least $78, therefore, the number of working hours multiplied by 18 must be equal to 78 or more than 78. $$18t≥78$$ 3- Choice B is correct $$(108-(3×9))÷9=9^3÷81=9$$ 4- Choice B is correct The ratio of boys to girls is $$3 ∶ 5$$. Therefore, there are 3 boys out of 8 students. To find the answer, first, divide the total number of students by 8, then multiply the result by 3. $$240÷8=30 ⇒ 30×3=90$$ 5- Choice A is correct Probability$$=\frac{number \space of \space desired \space outcomes}{number \space of \space total \space outcomes}=\frac{9}{9+15+14+16}=\frac{9}{54}\frac{1}{6}=0.16$$ 6- Choice D is correct Let’s compare each fraction: $$\frac{2}{3}<\frac{3}{4}<\frac{7}{9}<\frac{4}{5}$$. Only choice D provides the right order. 7- Choice B is correct Let $$y$$ be the width of the rectangle. Then; $$14×y=84→y=\frac{84}{14}=6$$ 8- Choice B is correct $$4×\frac{5}{16}=\frac{20}{16}=1.25$$ A. $$1.25>2$$ B. $$1<1.25<2$$ This is the answer! C. $$\frac{3}{8}=1.25$$ D. $$1.25=2^2$$ 9- Choice B is correct In any rectangle, The measure of the sum of all the angles equals $$180^\circ$$. 10- Choice C is correct $$\frac{824}{17}=48.5$$ The Absolute Best Book to Ace the FSA Math Test 11- The answer is $$7^2$$. $$588=2^2×3^1×7^2$$ 12- Choice B is correct The area of the trapezoid is: Area $$=\frac{base \space 1+base \space 2}{2}×height=\frac{12+10}{2}x=A→ 11x=A→x=\frac{A}{11}$$ 13- Choice B is correct $$\frac{72}{8}=9, \frac{648}{72}=9, \frac{5,832}{648}=9$$, Therefore, the factor is 9. 14- Choice C is correct Simplify each option provided. A. $$13-(3×6)+(7×(-6))=13-18+(-42)=-5-42=-47$$ B. $$(\frac{25}{400})+(\frac{7}{50})=\frac{25}{400}+\frac{56}{400}=\frac{81}{400}$$ C. $$((22×\frac{30}{6})-(7×\frac{144}{12}))×\frac{18}{2}=(110-84)×9=26×9=234$$ (this is the answer) D. $$(\frac{6}{24}+\frac{12}{33})-50=(\frac{1}{4}+\frac{1}{3})-50=(\frac{3}{12}+\frac{4}{12})-50=\frac{7}{12}-50=\frac{-593}{15}$$ 15- Choice D is correct To find the discount, multiply the number ($$100\%$$- rate of discount) Therefore; $$450(100\%-16\%)=450(1-0.16)=450-(450×0.16)$$ 16- Choice A is correct 1,400 out of 11,900 equals to $$\frac{1,400}{11,900}=\frac{200}{1,700}=\frac{2}{17}$$ 17- Choice C is correct The opposite of Nicolas’s integer is $$25$$. So, the integer is $$-25$$. The absolute value of $$25$$ is also $$25$$. 18- Choice B is correct Volume of a box = length × width × height = 7 × 4 × 12 = 336 19- Choice C is correct 1 yard = 3 feet, Therefore, $$33,759 ft×\frac{1 \space yd}{3 \space ft}=11,253$$ yd 20- Choice B is correct $$16\%$$ of the volume of the solution is alcohol. Let $$x$$ be the volume of the solution. Then: $$16\%$$ of $$x=38$$ ml ⇒ $$0.16x=38 ⇒ x=38÷0.16=237.5$$ 21- Choice C is correct $$(-2)(9x-8)=(-2)(9x)+(-2)(-8)=-18x+16$$ 22- Choice D is correct 1 pt = 16 fluid ounces. $$576÷16=36$$ Then: 576 fluid ounces = 36 pt 23- Choice D is correct 1 kg = 1000 g and 1 g = 1000 mg, 120 kg = 120 × 1000 g = 120 × 1000 × 1000 = 120,000,000 mg 24- Choice C is correct The diameter of a circle is twice the radius. Radius of the circle is $$\frac{14}{2}=7$$. Area of a circle $$= πr^2=π(7)^2=49π=49×3.14=153.86≅153.9$$ 25- Choice B is correct Average (mean) $$=\frac{sum \space of \space terms}{number \space of \space terms}=\frac{15+17+12+16+21+23}{6}=\frac{104}{6}=17.33$$ 26- Choice C is correct Prime factorizing of $$18=2×3×3$$, Prime factorizing of $$24=2×2×2×3$$ LCM $$= 2×2×2×3×3=72$$ 27- Choice B is correct The coordinate plane has two axes. The vertical line is called the $$y$$-axis and the horizontal is called the $$x$$-axis. The points on the coordinate plane are addressed using the form $$(x,y)$$. Point A is one unit on the left side of $$x$$-axis, therefore its $$x$$ value is 4 and it is two units up, therefore its $$y$$ axis is 2. The coordinate of the point is: (4, 2) 28- Choice B is correct $$α$$ and $$β$$ are supplementary angles. The sum of supplementary angles is 180 degrees. $$α+β=180^\circ→α=180^\circ-β=180^\circ-125^\circ=55^\circ,$$ Then, $$\frac{α}{β}=\frac{55}{125}=\frac{11}{25}$$ 29- Choice C is correct An opposite number of any number $$x$$ is a number that if added to $$x$$, the result is 0. Then: $$7+(-7)=0$$ and $$4+(-4)=0$$ 30- Choice C is correct $$16=-129+x$$, First, subtract 129 from both sides of the equation. Then: $$16+129=-129+x+129 →145=x$$ The Most Comprehensive Review for 6th-Grade Students Original price was:$20.99.Current price is: $15.99. Original price was:$15.99.Current price is: $10.99. Satisfied 81 Students Original price was:$18.99.Current price is: $13.99. Satisfied 222 Students Original price was:$16.99.Current price is: $11.99. Satisfied 79 Students ## Related to This Article ### More math articles ### What people say about "Full-Length 6th Grade FSA Math Practice Test-Answers and Explanations - Effortless Math: We Help Students Learn to LOVE Mathematics"? No one replied yet. 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